32581 + Interview Questions in Mathematics

1.	The minimum value of (sec−1x)2+(cosec−1x)2, \|x\|≥1 is
Answer» The minimum value of $({sec}^{- 1} x)^{2} + ({cosec}^{- 1} x)^{2}, \| x \| \geq 1$ is

Discussion

2.	If the centroid of a triangle is (1, 4) and two of its vertices are (4, -3) and (-9, 7), then the area of the triangle is
Answer» If the centroid of a triangle is (1, 4) and two of its vertices are (4, -3) and (-9, 7), then the area of the triangle is

Discussion

3.	In the figure given below, point D divides AB in the ratio 3 : 5 and DE is parallel toBC. If AE = 4.8 cm, then find thelength of AC(in cm). 12.8
Answer» $In the figure given below, point D divides AB in the ratio 3 : 5 and DE is parallel to BC. If AE = 4.8 cm, then find the length of AC(in cm).$ 12.8

3.

In the figure given below, point D divides AB in the ratio 3 : 5 and DE is parallel toBC. If AE = 4.8 cm, then find thelength of AC(in cm). 12.8

Answer»

$In the figure given below, point D divides AB in the ratio 3 : 5 and DE is parallel to BC. If AE = 4.8 cm, then find the length of AC(in cm).$

12.8

Discussion

4.	The value of cos 30∘ is
Answer» The value of $cos$ $30^{\circ}$ is

Discussion

5.	Find the quadratic polynomial, sum and product of whose zeroes are 0 and -1 respectively.
Answer» Find the quadratic polynomial, sum and product of whose zeroes are 0 and -1 respectively.

Discussion

6.	616 members have to march behind 32 members in such a way that that the number of columns are the same find the maximum number of columns possible i can't understand the what this question is saying and what is meant by maximum number of columns possible
Answer» 616 members have to march behind 32 members in such a way that that the number of columns are the same find the maximum number of columns possible i can't understand the what this question is saying and what is meant by maximum number of columns possible

Discussion

7.	The value of (cosecA-sinA)(secA-cosA)(tanA+cotA) is
Answer» The value of (cosecA-sinA)(secA-cosA)(tanA+cotA) is

Discussion

8.	In Fig. 5.48, AD = 4 cm, BD = 3 cm and CB = 12 cm, find the cot θ.(a) 125(b) 512(c) 1312(d) 1213
Answer» In Fig. 5.48, AD = 4 cm, BD = 3 cm and CB = 12 cm, find the cot θ. (a) $\frac{12}{5}$ (b) $\frac{5}{12}$ (c) $\frac{13}{12}$ (d) $\frac{12}{13}$

Discussion

9.	If the sum of the circumferences of two circles with radii R1andR2 is equal to the circumference of a circle of radius R then (a) R1+R2=R (b) R1+R2>R (c) R1+R2<R (d) none of these
Answer» If the sum of the circumferences of two circles with radii $R_{1} a n d R_{2}$ is equal to the circumference of a circle of radius R then (a) $R_{1} + R_{2} = R$ (b) $R_{1} + R_{2} > R$ (c) $R_{1} + R_{2} < R$ (d) none of these

9.

If the sum of the circumferences of two circles with radii R1andR2 is equal to the circumference of a circle of radius R then (a) R1+R2=R (b) R1+R2>R (c) R1+R2<R (d) none of these

Answer»

If the sum of the circumferences of two circles with radii $R_{1} a n d R_{2}$ is equal to the circumference of a circle of radius R then

(a) $R_{1} + R_{2} = R$ (b) $R_{1} + R_{2} > R$ (c) $R_{1} + R_{2} < R$ (d) none of these

Discussion

10.	Krishna’s family has 4 members. The daily rice consumption of the 4 family members is - 0.5 kg, 0.4 kg, 0.3 kg and 0.6 kg. Krishna wants to find the average rice consumption per family member. What is the measure that will come into use now?
Answer» Krishna’s family has 4 members. The daily rice consumption of the 4 family members is - 0.5 kg, 0.4 kg, 0.3 kg and 0.6 kg. Krishna wants to find the average rice consumption per family member. What is the measure that will come into use now?

Discussion

11.	Which of the following is the graph representing2x−y=10?
Answer» Which of the following is the graph representing $2 x - y = 10 ?$

Discussion

12.	The perimeter of a rectangle is 104 m and its area is 640 m2. Find its length and breadth.
Answer» The perimeter of a rectangle is 104 m and its area is 640 $m^{2}$ . Find its length and breadth.

Discussion

13.	In the figure given, the radius of the circle is 15 cm. The angle subtended by the chord AB at the centre O is 60∘. Find the area of the major and minor segments.
Answer» In the figure given, the radius of the circle is 15 cm. The angle subtended by the chord AB at the centre O is $60^{\circ}$ . Find the area of the major and minor segments.

Discussion

14.	In the given figure, if PR = 12 cm, QR = 6 cm and PL = 8 cm, then QM is
Answer» In the given figure, if PR = 12 cm, QR = 6 cm and PL = 8 cm, then QM is

Discussion

15.	Show that a1,a2……,an,…… form an AP where an is defined as below:an=3+4nAlso find the sum of the first 15 terms.
Answer» Show that $a_{1}, a_{2} \dots \dots, a_{n}, \dots \dots$ form an AP where $a_{n}$ is defined as below: $a_{n} = 3 + 4 n$ Also find the sum of the first 15 terms.

Discussion

16.	{ 9. The polynomial }x^{2k}+1+(x+1)^{2k} is not divisible by }x^2+x+1 . Find the value }}{ of }k∈ N.
Answer» { 9. The polynomial }x^{2k}+1+(x+1)^{2k} is not divisible by }x^2+x+1 . Find the value }}{ of }k∈ N.

Discussion

17.	Frequency table of the marks of 50 students as given below: Given that the median marks are 28.5, the missing frequencies will be
Answer» Frequency table of the marks of 50 students as given below: Given that the median marks are 28.5, the missing frequencies will be

17.

Frequency table of the marks of 50 students as given below: Given that the median marks are 28.5, the missing frequencies will be

Answer»

Frequency table of the marks of 50 students as given below:

Given that the median marks are 28.5, the missing frequencies will be

Discussion

18.	Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.6x2−3−7x
Answer» Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. $6 x^{2} - 3 - 7 x$

18.

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.6x2−3−7x

Answer»

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

$6 x^{2} - 3 - 7 x$

Discussion

19.	In a right-angled triangle, the length of the largest side is 10cm and of another side is 8cm. What will be the length of the remaining side?
Answer» In a right-angled triangle, the length of the largest side is 10cm and of another side is 8cm. What will be the length of the remaining side?

Discussion

20.	(i) Lines 2x - by + 5 = 0 and ax + 3y = 2 are parallel to each other. Find the relation connecting a and b. (ii) Lines mx + 3y + 7 = 0 and 5x - ny - 3 = 0 are perpendicular to each other. Find the relation connecting m and n.
Answer» (i) Lines 2x - by + 5 = 0 and ax + 3y = 2 are parallel to each other. Find the relation connecting a and b. (ii) Lines mx + 3y + 7 = 0 and 5x - ny - 3 = 0 are perpendicular to each other. Find the relation connecting m and n.

20.

(i) Lines 2x - by + 5 = 0 and ax + 3y = 2 are parallel to each other. Find the relation connecting a and b. (ii) Lines mx + 3y + 7 = 0 and 5x - ny - 3 = 0 are perpendicular to each other. Find the relation connecting m and n.

Answer»

(i) Lines 2x - by + 5 = 0 and ax + 3y = 2 are parallel to each other. Find the relation connecting a and b.

(ii) Lines mx + 3y + 7 = 0 and 5x - ny - 3 = 0 are perpendicular to each other. Find the relation connecting m and n.

Discussion

21.	check whether the following equation} is } quadratic equation or not: }{(x+3)=(x-1)(x-4)
Answer» check whether the following equation} is } quadratic equation or not: }{(x+3)=(x-1)(x-4)

Discussion

22.	In what ratio is the line segment joining (-1, 3) and (4, -7) divided at the point (2, -3)?
Answer» In what ratio is the line segment joining (-1, 3) and (4, -7) divided at the point (2, -3)?

Discussion

23.	If 2 is a zero of the polynomial p(x)=x−2kx²+kx−1 then find value of k.
Answer» If 2 is a zero of the polynomial $p (x) = x - 2 k x ² + k x - 1$ then find value of $k$ .

Discussion

24.	Metallic spheres of radii 6cm, 8cm and 10cm, respectively are melted to form a single solid sphere. The radius of the resulting sphere(in cm) is ___.
Answer» Metallic spheres of radii 6cm, 8cm and 10cm, respectively are melted to form a single solid sphere. The radius of the resulting sphere(in cm) is ___.

Discussion

25.	Prove the following trigonometric identities.(i) 1+sin θ-cos θ1+sin θ+cos θ2=1-cos θ1+cos θ(ii) 1+secθ-tanθ1+secθ+tanθ=1-sinθcosθ
Answer» Prove the following trigonometric identities. (i) ${(\frac{1 + \sin θ - \cos θ}{1 + \sin θ + \cos θ})}^{2} = \frac{1 - \cos θ}{1 + \cos θ}$ (ii) $\frac{1 + \sec θ - \tan θ}{1 + \sec θ + \tan θ} = \frac{1 - \sin θ}{\cos θ}$

Discussion

26.	45. Find the no. Of different matrices that can be formed with elements 0, 1, 2or 3. Each matrix having 4 elements.
Answer» 45. Find the no. Of different matrices that can be formed with elements 0, 1, 2or 3. Each matrix having 4 elements.

Discussion

27.	If α and β are the zeroes of the quadratic polynomial f(x)=x2−2x+1, then find a quadratic polynomial whose zeroes are 2αβ and 2βα
Answer» If $α$ and $β$ are the zeroes of the quadratic polynomial $f (x) = x^{2} - 2 x + 1$ , then find a quadratic polynomial whose zeroes are $\frac{2 α}{β}$ and $\frac{2 β}{α}$

27.

If α and β are the zeroes of the quadratic polynomial f(x)=x2−2x+1, then find a quadratic polynomial whose zeroes are 2αβ and 2βα

Answer»

If $α$ and $β$ are the zeroes of the quadratic polynomial $f (x) = x^{2} - 2 x + 1$ , then find a quadratic polynomial whose zeroes are $\frac{2 α}{β}$ and $\frac{2 β}{α}$

Discussion

28.	Fill In The Blanks If AOB is a diameter of a circle and C is a point on the circle, then the AC2 + BC2 = ____________.
Answer» Fill In The Blanks If AOB is a diameter of a circle and C is a point on the circle, then the AC² + BC²= ____________.

Discussion

29.	By selling an item for Rs. 24, the shopkeeper earns the percentage profit equal to cost price of the item. Find the cost price.
Answer» By selling an item for Rs. 24, the shopkeeper earns the percentage profit equal to cost price of the item. Find the cost price.

Discussion

30.	Find the circumference of a circle (in decimeters) whose radius is 3.5 cm.
Answer» Find the circumference of a circle (in decimeters) whose radius is 3.5 cm.

Discussion

31.	If the number of rows and columns of a matrix are equal, then the matrix is called ___ matrix.
Answer» If the number of rows and columns of a matrix are equal, then the matrix is called ___ matrix.

Discussion

32.	In a population of 1000 people, 360 belong to genotype AA, 480 to Aa and remaining 160 to aa. Based on this data, the frequency of allele A in the population is 1) 0.4 2)0.5 3)0.6 4)0.7
Answer» In a population of 1000 people, 360 belong to genotype AA, 480 to Aa and remaining 160 to aa. Based on this data, the frequency of allele A in the population is 1) 0.4 2)0.5 3)0.6 4)0.7

Discussion

33.	10. If the sides of triangle ABC are such that a = 4 ,b = 5 ,c = 6 then the ratio in which incentre divide angle bisector of B is
Answer» 10. If the sides of triangle ABC are such that a = 4 ,b = 5 ,c = 6 then the ratio in which incentre divide angle bisector of B is

Discussion

34.	Construct a triangle ABC with BC = 6.5 cm, AB = 5.5 cm and AC = 5 cm. Construct the incircle of the triangle. find the radius of the incircle.
Answer» Construct a triangle ABC with BC = 6.5 cm, AB = 5.5 cm and AC = 5 cm. Construct the incircle of the triangle. find the radius of the incircle.

Discussion

35.	What is the converted form of the equation 5x2 – 6x – 2 = 0 after completing the square by the method of completion of the square?
Answer» What is the converted form of the equation 5 $x^{2}$ – 6 $x$ – 2 = 0 after completing the square by the method of completion of the square?

Discussion

36.	If the squared difference of the zeros of the quadratic polynomial f(x) = x2 + px + 45 is equal to 144, find the value of p.
Answer» If the squared difference of the zeros of the quadratic polynomial f(x) = x² + px + 45 is equal to 144, find the value of p.

Discussion

37.	If 18th and 11th term of an A.P. are in the ratio 3 : 2, then its 21st and 5th terms are in the ratio(a) 3 : 2(b) 3 : 1(c) 1 : 3(d) 2 : 3
Answer» If 18^th and 11^th term of an A.P. are in the ratio 3 : 2, then its 21^stand 5^th terms are in the ratio (a) 3 : 2 (b) 3 : 1 (c) 1 : 3 (d) 2 : 3

Discussion

38.	14. If tangent QR,PR and PQ are drawn respectively at A,B,C to the circle circumscribing an acute angled triangle ABC so as to form another triangle PQR,then the angle RPQ is equal to
Answer» 14. If tangent QR,PR and PQ are drawn respectively at A,B,C to the circle circumscribing an acute angled triangle ABC so as to form another triangle PQR,then the angle RPQ is equal to

Discussion

39.	Rohan's mother is 26 years older than him. The product of their ages ( in years ) 3 years from now will be 360. Find the present age of Rohan.
Answer» Rohan's mother is 26 years older than him. The product of their ages ( in years ) 3 years from now will be 360. Find the present age of Rohan.

Discussion

40.	If the point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), find p. [CBSE 2014]
Answer» If the point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), find p. [CBSE 2014]

Discussion

41.	Question 30(ii)All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value greater than 7.
Answer» Question 30(ii) All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value greater than 7.

Discussion

42.	A circle has radius 5 cm. A section of its circumference has length π cm. What is the angle subtended by this section at the centre?
Answer» A circle has radius 5 cm. A section of its circumference has length $π$ cm. What is the angle subtended by this section at the centre?

Discussion

43.	Find the remainder when 23 – 3 2 + 7 – 8 is divided by ( – 1)
Answer» Find the remainder when 2³ – 3² + 7 – 8 is divided by ( – 1)

Discussion

44.	Question 22Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is (a) 12 cm (b) 24 cm (c) 18 cm (d) 20 cm
Answer» Question 22 Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is (a) 12 cm (b) 24 cm (c) 18 cm (d) 20 cm

44.

Question 22Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is (a) 12 cm (b) 24 cm (c) 18 cm (d) 20 cm

Answer»

Question 22

Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is

(a) 12 cm (b) 24 cm (c) 18 cm (d) 20 cm

Discussion

45.	The maximum number of the zeros of the polynomial p(x)=x5−2x+1 is ______.5
Answer» The maximum number of the zeros of the polynomial $p (x) = x^{5} - 2 x + 1$ is ______. 5

Discussion

46.

Prepare Two-column Cash Book of Vinod, Delhi from the following transactions: 2018 ₹ Oct. 1 Cash in Hand 25,000 Oct. 1 Cash at Bank 75,000 Oct. 7 Bought goods for ₹ 15,000 plus IGST 12% against cheque Oct. 8 Bought goods for ₹ 5,000 plus CGST and SGST 6% each Oct. 10 Honoured our own acceptance by cheque 5,000 Oct. 14 Paid petty expenses 150 Oct. 18 Ramesh who owed ₹ 5,000 became bankrupt and paid us 50 paise in a rupee Oct. 20 Received cash from Manohar 7,500 Allowed discount 250 Oct. 23 Withdrew from bank 4,000 Oct. 24 Paid to Ghanshyamdas & Co. 3,000 Received discount 100 Oct. 25 Withdrew from bank for personal expenses 3,000 Oct. 27 Sold goods for ₹ 11,000 plus CGST and SGST 6% against cash Oct. 28 Received cheque for goods sold for ₹ 9,000 plus CGST and SGST 6% each Oct. 29 Received repayment of a loan of ₹ 5,000 and deposited ₹ 3,000 out of it into bank

Answer» Prepare Two-column Cash Book of Vinod, Delhi from the following transactions:


2018		₹
Oct. 1	Cash in Hand	25,000
Oct. 1	Cash at Bank	75,000
Oct. 7	Bought goods for ₹ 15,000 plus IGST 12% against cheque
Oct. 8	Bought goods for ₹ 5,000 plus CGST and SGST 6% each
Oct. 10	Honoured our own acceptance by cheque	5,000
Oct. 14	Paid petty expenses	150
Oct. 18	Ramesh who owed ₹ 5,000 became bankrupt and paid us 50 paise in a rupee
Oct. 20	Received cash from Manohar	7,500
	Allowed discount	250
Oct. 23	Withdrew from bank	4,000
Oct. 24	Paid to Ghanshyamdas & Co.	3,000
	Received discount	100
Oct. 25	Withdrew from bank for personal expenses	3,000
Oct. 27	Sold goods for ₹ 11,000 plus CGST and SGST 6% against cash
Oct. 28	Received cheque for goods sold for ₹ 9,000 plus CGST and SGST 6% each
Oct. 29	Received repayment of a loan of ₹ 5,000 and deposited ₹ 3,000 out of it into bank

Discussion

47.	If →u(x)=x^i+(sinx)^j+(1+sinx)^k, →v(x)=^i+cosx(^j+^k) and →w(x)=sinx(^j+^k), all are linearly dependent vectors for x=α, then (2απ) can be equal to
Answer» If $\to u (x) = x^i + (sin x)^j + (1 + sin x)^k,$ $\to v (x) =^i + cos x (^j +^k)$ and $\to w (x) = sin x (^j +^k),$ all are linearly dependent vectors for $x = α$ , then $(\frac{2 α}{π})$ can be equal to

Discussion

48.	Find the equation of the line passing through : (i) (0, 1) and (1, 2) (ii) (-1, -4) and (3, 0)
Answer» Find the equation of the line passing through : (i) (0, 1) and (1, 2) (ii) (-1, -4) and (3, 0)

48.

Find the equation of the line passing through : (i) (0, 1) and (1, 2) (ii) (-1, -4) and (3, 0)

Answer»

Find the equation of the line passing through :

(i) (0, 1) and (1, 2) (ii) (-1, -4) and (3, 0)

Discussion

49.	Question 106Solve the followingKusum buys some chocolates at the rate of Rs. 10 per chocolate. She also buys an equal number of candies at the rate of Rs. 5 per candy. She makes a 20% profit on chocolates and 8% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 240. Find the number of chocolates purchased.
Answer» Question 106 Solve the following Kusum buys some chocolates at the rate of Rs. 10 per chocolate. She also buys an equal number of candies at the rate of Rs. 5 per candy. She makes a 20% profit on chocolates and 8% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 240. Find the number of chocolates purchased.

49.

Question 106Solve the followingKusum buys some chocolates at the rate of Rs. 10 per chocolate. She also buys an equal number of candies at the rate of Rs. 5 per candy. She makes a 20% profit on chocolates and 8% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 240. Find the number of chocolates purchased.

Answer»

Question 106

Solve the following

Kusum buys some chocolates at the rate of Rs. 10 per chocolate. She also buys an equal number of candies at the rate of Rs. 5 per candy. She makes a 20% profit on chocolates and 8% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 240. Find the number of chocolates purchased.

Discussion

50.	Two dice are thrown together. The probability of getting the same number on both dice is:-
Answer» Two dice are thrown together. The probability of getting the same number on both dice is:-

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The minimum value of (sec−1x)2+(cosec−1x)2, |x|≥1 is

If the centroid of a triangle is (1, 4) and two of its vertices are (4, -3) and (-9, 7), then the area of the triangle is

In the figure given below, point D divides AB in the ratio 3 : 5 and DE is parallel toBC. If AE = 4.8 cm, then find thelength of AC(in cm). 12.8

The value of cos 30∘ is

Find the quadratic polynomial, sum and product of whose zeroes are 0 and -1 respectively.

616 members have to march behind 32 members in such a way that that the number of columns are the same find the maximum number of columns possible i can't understand the what this question is saying and what is meant by maximum number of columns possible

The value of (cosecA-sinA)(secA-cosA)(tanA+cotA) is

In Fig. 5.48, AD = 4 cm, BD = 3 cm and CB = 12 cm, find the cot θ.(a) 125(b) 512(c) 1312(d) 1213

If the sum of the circumferences of two circles with radii R1andR2 is equal to the circumference of a circle of radius R then (a) R1+R2=R (b) R1+R2&gt;R (c) R1+R2&lt;R (d) none of these

Krishna’s family has 4 members. The daily rice consumption of the 4 family members is - 0.5 kg, 0.4 kg, 0.3 kg and 0.6 kg. Krishna wants to find the average rice consumption per family member. What is the measure that will come into use now?

Which of the following is the graph representing2x−y=10?

The perimeter of a rectangle is 104 m and its area is 640 m2. Find its length and breadth.

In the figure given, the radius of the circle is 15 cm. The angle subtended by the chord AB at the centre O is 60∘. Find the area of the major and minor segments.

In the given figure, if PR = 12 cm, QR = 6 cm and PL = 8 cm, then QM is

Show that a1,a2……,an,…… form an AP where an is defined as below:an=3+4nAlso find the sum of the first 15 terms.

{ 9. The polynomial }x^{2k}+1+(x+1)^{2k} is not divisible by }x^2+x+1 . Find the value }}{ of }k∈ N.

Frequency table of the marks of 50 students as given below: Given that the median marks are 28.5, the missing frequencies will be

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.6x2−3−7x

In a right-angled triangle, the length of the largest side is 10cm and of another side is 8cm. What will be the length of the remaining side?

(i) Lines 2x - by + 5 = 0 and ax + 3y = 2 are parallel to each other. Find the relation connecting a and b. (ii) Lines mx + 3y + 7 = 0 and 5x - ny - 3 = 0 are perpendicular to each other. Find the relation connecting m and n.

check whether the following equation} is } quadratic equation or not: }{(x+3)=(x-1)(x-4)

In what ratio is the line segment joining (-1, 3) and (4, -7) divided at the point (2, -3)?

If 2 is a zero of the polynomial p(x)=x−2kx²+kx−1 then find value of k.

Metallic spheres of radii 6cm, 8cm and 10cm, respectively are melted to form a single solid sphere. The radius of the resulting sphere(in cm) is ___.

Prove the following trigonometric identities.(i) 1+sin θ-cos θ1+sin θ+cos θ2=1-cos θ1+cos θ(ii) 1+secθ-tanθ1+secθ+tanθ=1-sinθcosθ

45. Find the no. Of different matrices that can be formed with elements 0, 1, 2or 3. Each matrix having 4 elements.

If α and β are the zeroes of the quadratic polynomial f(x)=x2−2x+1, then find a quadratic polynomial whose zeroes are 2αβ and 2βα

Fill In The Blanks If AOB is a diameter of a circle and C is a point on the circle, then the AC2 + BC2 = ____________.

By selling an item for Rs. 24, the shopkeeper earns the percentage profit equal to cost price of the item. Find the cost price.

Find the circumference of a circle (in decimeters) whose radius is 3.5 cm.

If the number of rows and columns of a matrix are equal, then the matrix is called ___ matrix.

In a population of 1000 people, 360 belong to genotype AA, 480 to Aa and remaining 160 to aa. Based on this data, the frequency of allele A in the population is 1) 0.4 2)0.5 3)0.6 4)0.7

10. If the sides of triangle ABC are such that a = 4 ,b = 5 ,c = 6 then the ratio in which incentre divide angle bisector of B is

Construct a triangle ABC with BC = 6.5 cm, AB = 5.5 cm and AC = 5 cm. Construct the incircle of the triangle. find the radius of the incircle.

What is the converted form of the equation 5x2 – 6x – 2 = 0 after completing the square by the method of completion of the square?

If the squared difference of the zeros of the quadratic polynomial f(x) = x2 + px + 45 is equal to 144, find the value of p.

If 18th and 11th term of an A.P. are in the ratio 3 : 2, then its 21st and 5th terms are in the ratio(a) 3 : 2(b) 3 : 1(c) 1 : 3(d) 2 : 3

14. If tangent QR,PR and PQ are drawn respectively at A,B,C to the circle circumscribing an acute angled triangle ABC so as to form another triangle PQR,then the angle RPQ is equal to

Rohan's mother is 26 years older than him. The product of their ages ( in years ) 3 years from now will be 360. Find the present age of Rohan.

If the point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), find p. [CBSE 2014]

Question 30(ii)All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value greater than 7.

A circle has radius 5 cm. A section of its circumference has length π cm. What is the angle subtended by this section at the centre?

Find the remainder when 23 – 3 2 + 7 – 8 is divided by ( – 1)

Question 22Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is (a) 12 cm (b) 24 cm (c) 18 cm (d) 20 cm

The maximum number of the zeros of the polynomial p(x)=x5−2x+1 is ______.5

If →u(x)=x^i+(sinx)^j+(1+sinx)^k, →v(x)=^i+cosx(^j+^k) and →w(x)=sinx(^j+^k), all are linearly dependent vectors for x=α, then (2απ) can be equal to

Find the equation of the line passing through : (i) (0, 1) and (1, 2) (ii) (-1, -4) and (3, 0)

Two dice are thrown together. The probability of getting the same number on both dice is:-

If the sum of the circumferences of two circles with radii R1andR2 is equal to the circumference of a circle of radius R then (a) R1+R2=R (b) R1+R2>R (c) R1+R2<R (d) none of these