32581 + Interview Questions in Mathematics Page 185 InterviewSolution

9201.	Frame the quadratic equation whose roots are -5, -12
Answer» Frame the quadratic equation whose roots are -5, -12

Discussion

9202.	The sum of three numbers in AP is 3 and their product is -35. find the numbers.
Answer» The sum of three numbers in AP is 3 and their product is -35. find the numbers.

Discussion

9203.	An observer , 1.7 m tall , is 203 m away from a tower . The angle of elevation from the eye of an observer to the top of tower is 300 . Find the height of the tower.
Answer» An observer , 1.7 m tall , is 20 $\sqrt{3}$ m away from a tower . The angle of elevation from the eye of an observer to the top of tower is 30⁰. Find the height of the tower.

Discussion

9204.	How many digits will 320 have if log103 = 0.4771?
Answer» $H o w m a n y d i g i t s w i l l 3^{20} h a v e i f {l o g}_{10} 3 = 0.4771 ?$

Discussion

9205.	In a ∆ABC, right angled at B, AB = 24 cm, BC = 7 cm. Determine(i) sin A, cos A(ii) sin C, cos C
Answer» In a ∆ABC, right angled at B, AB = 24 cm, BC = 7 cm. Determine (i) sin A, cos A (ii) sin C, cos C

Discussion

9206.	Find the Median for the given data by drawing a 'less than ogive' :Class Interval0−1010−2020−3030−4040−50Frequency51014168
Answer» Find the Median for the given data by drawing a 'less than ogive' : $\begin{matrix} Class Interval & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 Frequency & 5 & 10 & 14 & 16 & 8 \end{matrix}$

9206.

Find the Median for the given data by drawing a 'less than ogive' :Class Interval0−1010−2020−3030−4040−50Frequency51014168

Answer»

Find the Median for the given data by drawing a 'less than ogive' :

$\begin{matrix} Class Interval & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 Frequency & 5 & 10 & 14 & 16 & 8 \end{matrix}$

Discussion

9207.	Let a,b,c,p be rational numbers such that p is not a prrfper cube, if a+bp^1/3+cp^2/3=0. Then prove that a=b=c=0.
Answer» Let a,b,c,p be rational numbers such that p is not a prrfper cube, if a+bp^1/3+cp^2/3=0. Then prove that a=b=c=0.

Discussion

9208.	A new unit of length is equal to 10 m. The area of 5 m^2 expressed in terms of new unit has magnitude Options: a) 0.05 b) 0.50 c) 5.05 d) 5.00
Answer» A new unit of length is equal to 10 m. The area of 5 m^2 expressed in terms of new unit has magnitude Options: a) 0.05 b) 0.50 c) 5.05 d) 5.00

Discussion

9209.	If the roots of the equation x2−bx+c=0 are two consecutive integers, then what is the value of b2−4c ?
Answer» If the roots of the equation $x^{2} - b x + c = 0$ are two consecutive integers, then what is the value of $b^{2} - 4 c$ ?

Discussion

9210.	If x. tan 45o. cot60o = sin 30o. cosec60o, then the value of x is:
Answer» If x. tan 45^o. cot60^o = sin 30^o. cosec60^o, then the value of x is:

Discussion

9211.	Write an A.P. whose first term is a and common difference is d in each of the following.(1) a = 10, d = 5(2) a = –3, d = 0(3) a = –7, d = 12(4) a = –1.25, d = 3(5) a = 6, d = –3(6) a = 19, d = –4
Answer» Write an A.P. whose first term is a and common difference is d in each of the following. (1) a = 10, d = 5 (2) a = –3, d = 0 (3) a = –7, d = $\frac{1}{2}$ (4) a = –1.25, d = 3 (5) a = 6, d = –3 (6) a = 19, d = –4

Discussion

9212.	Express 2.4¯¯¯5 in the form pq, where p and q are integers and q≠0, is
Answer» Express $2.4 ¯ ¯ ¯ 5$ in the form $\frac{p}{q}$ , where p and q are integers and $q \neq 0$ , is

Discussion

9213.	95.The sum of n term of an AP is 7(n)n+9n.Find the AP also find the 18term
Answer» 95.The sum of n term of an AP is 7(n)n+9n.Find the AP also find the 18term

Discussion

9214.	Solve the following systems of equations:13x+y+13x-y=34123x+y-123x-y=-18
Answer» Solve the following systems of equations: $\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4} \frac{1}{2 (3 x + y)} - \frac{1}{2 (3 x - y)} = - \frac{1}{8}$

Discussion

9215.	In the given figure, If PQ∥RS, prove that ΔPOQ∼ΔSOR. [2 MARKS]
Answer» In the given figure, If $P Q ∥ R S$ , prove that $Δ P O Q \sim Δ S O R$ . [2 MARKS]

9215.

In the given figure, If PQ∥RS, prove that ΔPOQ∼ΔSOR. [2 MARKS]

Answer»

In the given figure, If $P Q ∥ R S$ , prove that $Δ P O Q \sim Δ S O R$ .
[2 MARKS]

Discussion

9216.	The equation of a line AB is 2x - 2y + 3 = 0. (i) Find the slope of the line AB. (ii) Calculate the angle that the line AB makes with the positive direction of the x-axis.
Answer» The equation of a line AB is 2x - 2y + 3 = 0. (i) Find the slope of the line AB. (ii) Calculate the angle that the line AB makes with the positive direction of the x-axis.

9216.

The equation of a line AB is 2x - 2y + 3 = 0. (i) Find the slope of the line AB. (ii) Calculate the angle that the line AB makes with the positive direction of the x-axis.

Answer»

The equation of a line AB is 2x - 2y + 3 = 0.

(i) Find the slope of the line AB.

(ii) Calculate the angle that the line AB makes with the positive direction of the x-axis.

Discussion

9217.	Prove that the cube of a positive integer of the form 6m+r, where m is a integer and r=0,1,2,3,4,5 is also in the form of 6q +r
Answer» Prove that the cube of a positive integer of the form 6m+r, where m is a integer and r=0,1,2,3,4,5 is also in the form of 6q +r

Discussion

9218.	The houses of a row are number consecutively from 1 to 49. Show that there is a value of x such that the sum of numbers of the houses preceding the house numbered x is equal to the sum of the number of houses following it.Find this value of x.[Hint Sx − 1 = S49 − Sx]
Answer» The houses of a row are number consecutively from 1 to 49. Show that there is a value of x such that the sum of numbers of the houses preceding the house numbered x is equal to the sum of the number of houses following it. Find this value of x. [Hint S_x_{− 1}= S₄₉ − S_x]

9218.

The houses of a row are number consecutively from 1 to 49. Show that there is a value of x such that the sum of numbers of the houses preceding the house numbered x is equal to the sum of the number of houses following it.Find this value of x.[Hint Sx − 1 = S49 − Sx]

Answer»

The houses of a row are number consecutively from 1 to 49. Show that there is a value of x such that the sum of numbers of the houses preceding the house numbered x is equal to the sum of the number of houses following it.

Find this value of x.

[Hint S_x_{− 1}= S₄₉ − S_x]

Discussion

9219.	The area of a rectangle remains the same if the length is increased by 7 meters and the breadth is decreased by 3 meters. The area remains unaffected if the length is decreased by 7 meters and breadth in increased by 5 meters. Find the dimensions of the rectangle.
Answer» The area of a rectangle remains the same if the length is increased by 7 meters and the breadth is decreased by 3 meters. The area remains unaffected if the length is decreased by 7 meters and breadth in increased by 5 meters. Find the dimensions of the rectangle.

Discussion

9220.	Rain water, which falls on a flat rectangular surface of length 6 m and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm. What will be the height of water in the cylindrical vessel if a rainfall of 1 cm has fallen ?
Answer» Rain water, which falls on a flat rectangular surface of length 6 m and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm. What will be the height of water in the cylindrical vessel if a rainfall of 1 cm has fallen ?

Discussion

9221.	The equation of a plane having equal intercepts on coordinate axes and is unit distance from (1,2,−3) can be ?
Answer» The equation of a plane having equal intercepts on coordinate axes and is unit distance from $(1, 2, - 3)$ can be ?

Discussion

9222.	(sinA+cosecA)2+(cosA+secA)2=7+tan2A+cot2A
Answer» $(s i n A + c o s e c A)^{2} + (c o s A + s e c A)^{2} = 7 + t a n^{2} A + c o t^{2} A$

Discussion

9223.	Explain why 71113+13 and 7654321+1 are composite numbers
Answer» Explain why 71113+13 and 7654321+1 are composite numbers

Discussion

9224.	Find the number of terms of the A.P.-12,-9,-6,..., 21. If 1 is added to each term of this A.P., then find the sum of all terms of the A.P. thus obtained.
Answer» Find the number of terms of the A.P.-12,-9,-6,..., 21. If 1 is added to each term of this A.P., then find the sum of all terms of the A.P. thus obtained.

Discussion

9225.	Give an example of each, of two irrational numbers whose:(i) difference is a rational number.(ii) difference is an irrational number.(iii) sum is a rational number.(iv) sum is an irrational number.(v) product is an rational number.(vi) product is an irrational number.(vii) quotient is a rational number.(viii) quotient is an irrational number.
Answer» Give an example of each, of two irrational numbers whose: (i) difference is a rational number. (ii) difference is an irrational number. (iii) sum is a rational number. (iv) sum is an irrational number. (v) product is an rational number. (vi) product is an irrational number. (vii) quotient is a rational number. (viii) quotient is an irrational number.

Discussion

9226.	A line segment AB is divided at point C in a ratio of 5: 8 thenOptions:8AC = 5AB5AC = 8BC8BC = 5AB13AC = 5AB
Answer» A line segment AB is divided at point C in a ratio of 5: 8 then Options: 8AC = 5AB 5AC = 8BC 8BC = 5AB 13AC = 5AB

Discussion

9227.	In ∆ABC, P divides the side AB such that AP : PB = 1 : 2. Q is a point in AC such that PQ \|\| BC. Find the ratio of the areas of ∆APQ and trapezium BPQC.
Answer» In ∆ABC, P divides the side AB such that AP : PB = 1 : 2. Q is a point in AC such that PQ \|\| BC. Find the ratio of the areas of ∆APQ and trapezium BPQC.

Discussion

9228.	P, Q and R are three partners sharing profits and losses in the ratio of 3 : 3 : 2 respectively . Their respective capitals are in their profit-sharing proportions . On 1st April, 2017 , the total capital of the firm and the balance of General Reserve are ₹ 80,000 and ₹ 20,000 respectively. During the year 2017-18 the firm made a profit of ₹ 28,000 before charging interest on capital 5%. The drawings of the partners are P—₹ 8,000; Q—₹ 7,000; and R—₹ 5,000. On 31st March, 2018 their liabilities were ₹ 18,000.On this date , they decided to dissolve the firm. The assets realised ₹ 1,08,600 and realisation expenses amounted to ₹ 1,800.Prepare necessary Ledger Accounts to close the books of the firm.
Answer» P, Q and R are three partners sharing profits and losses in the ratio of 3 : 3 : 2 respectively . Their respective capitals are in their profit-sharing proportions . On 1st April, 2017 , the total capital of the firm and the balance of General Reserve are ₹ 80,000 and ₹ 20,000 respectively. During the year 2017-18 the firm made a profit of ₹ 28,000 before charging interest on capital 5%. The drawings of the partners are P $—$ ₹ 8,000; Q $—$ ₹ 7,000; and R $—$ ₹ 5,000. On 31st March, 2018 their liabilities were ₹ 18,000. On this date , they decided to dissolve the firm. The assets realised ₹ 1,08,600 and realisation expenses amounted to ₹ 1,800. Prepare necessary Ledger Accounts to close the books of the firm.

Discussion

9229.	A garage worker goes to a nearby store to buy nuts and bolts. He has Rs. 40 and he is going to buy nuts for 40 paisa and bolts for Rs. 1.5 each. Write an inequality to describe the possible number of nuts and bolts that he can buy (Take the cost price of each bolt and nut as Rs.x and Rs.y respectively).
Answer» A garage worker goes to a nearby store to buy nuts and bolts. He has Rs. 40 and he is going to buy nuts for 40 paisa and bolts for Rs. 1.5 each. Write an inequality to describe the possible number of nuts and bolts that he can buy (Take the cost price of each bolt and nut as Rs.x and Rs.y respectively).

Discussion

9230.	The angles of depression of the top and the bottom of a 10 m tall building from the top of a multi-storeyed building are 30∘ and 45∘, respectively. Find the height of the multi-storeyed building.
Answer» The angles of depression of the top and the bottom of a 10 m tall building from the top of a multi-storeyed building are $30^{\circ}$ and $45^{\circ}$ , respectively. Find the height of the multi-storeyed building.

Discussion

9231.	Find the value of k for which the systems of equations 5x−3y=0,2x+ky=0 has a nonzero solution.
Answer» Find the value of k for which the systems of equations $5 x - 3 y = 0, 2 x + k y = 0$ has a nonzero solution.

Discussion

9232.	O is the centre of the circle. ∠OAB = 20°, ∠OCB = 55°. Find ∠BOC and ∠AOC.
Answer» O is the centre of the circle. $∠$ OAB = 20°, $∠$ OCB = 55°. Find $∠$ BOC and $∠$ AOC.

Discussion

9233.	if x and y be two non zero vectors such that \|x+y\|=\|x-2y\| then least value of x.y+1/(\|y\|^2+2) is
Answer» if x and y be two non zero vectors such that \|x+y\|=\|x-2y\| then least value of x.y+1/(\|y\|^2+2) is

Discussion

9234.	If a square is inscribed in a quadrant of a circle of radius 4 cm such that their vertices coincide, then the area of the quadrant covered by the square is
Answer» If a square is inscribed in a quadrant of a circle of radius $4 cm$ such that their vertices coincide, then the area of the quadrant covered by the square is

Discussion

9235.	If the Education cess is ₹500, and there is no rebatable component of Income tax declared, find the annual income if the person is 35 years old.
Answer» If the Education cess is ₹500, and there is no rebatable component of Income tax declared, find the annual income if the person is 35 years old.

Discussion

9236.	Express the HCF of 468 and 222 as 468x+222y in two different ways, where x, y are integers
Answer» Express the HCF of 468 and 222 as 468x+222y in two different ways, where x, y are integers

Discussion

9237.	In the given figure, CD is a diameter of the circle with centre O. Diameter CD is perpendicular to chord AB at point E. Show that∆ABC is an isosceles triangle.
Answer» In the given figure, CD is a diameter of the circle with centre O. Diameter CD is perpendicular to chord AB at point E. Show that $∆$ ABC is an isosceles triangle.

Discussion

9238.	The perpendicular bisectors of the three sides of an acute triangle intersect each other______.
Answer» The perpendicular bisectors of the three sides of an acute triangle intersect each other______.

Discussion

9239.	Find the circumference of a circle whose area is 301.84 cm2
Answer» Find the circumference of a circle whose area is $301.84 c m^{2}$

Discussion

9240.	Find the value of x, given that A2 = B, A= [21201],B=[4x01] ___
Answer» Find the value of x, given that $A^{2}$ = B, A= $[\begin{matrix} 2 & 12 0 & 1 \end{matrix}], B = [\begin{matrix} 4 & x 0 & 1 \end{matrix}]$ ___

9240.

Find the value of x, given that A2 = B, A= [21201],B=[4x01] ___

Answer»

Find the value of x, given that $A^{2}$ = B,

A= $[\begin{matrix} 2 & 12 0 & 1 \end{matrix}], B = [\begin{matrix} 4 & x 0 & 1 \end{matrix}]$
___

Discussion

9241.	If the normal at any point on the standard ellipse x^2/a^2 +y^2/b^2 =1,meets its auxillary circle at Q and R such that angle QOR equals to 90 degree ,where O is the centre of the ellipse,then prove that (a^4)+(2 b^4)>=(5a^2 b^2)+(a^3 b).
Answer» If the normal at any point on the standard ellipse x^2/a^2 +y^2/b^2 =1,meets its auxillary circle at Q and R such that angle QOR equals to 90 degree ,where O is the centre of the ellipse,then prove that (a^4)+(2 b^4)>=(5a^2 b^2)+(a^3 b).

Discussion

9242.	In a ΔABC, obtuse angled at B, if AD is perpendicular to CB produced, prove that AC = AB2 + BC2 + 2BC × BD
Answer» In a ΔABC, obtuse angled at B, if AD is perpendicular to CB produced, prove that AC = ${A B}^{2}$ + ${B C}^{2}$ + 2BC $\times$ BD

Discussion

9243.	If θ is an acute angle such that tan2 θ=87, then the value of 1+sin θ 1-sin θ 1+cos θ 1-cos θis(a) 78(b) 87(c) 74(d) 6449
Answer» If θ is an acute angle such that $\tan^{2} θ = \frac{8}{7}$ , then the value of $\frac{(1 + \sin θ) (1 - \sin θ)}{(1 + \cos θ) (1 - \cos θ)}$ is (a) $\frac{7}{8}$ (b) $\frac{8}{7}$ (c) $\frac{7}{4}$ (d) $\frac{64}{49}$

Discussion

9244.	The [HCF × LCM] for the numbers 50 and 20 is(a) 10(b) 100 (c) 1000(d) 50
Answer» The [HCF × LCM] for the numbers 50 and 20 is (a) 10 (b) 100 (c) 1000 (d) 50

Discussion

9245.	Find the value of the middle term of the following AP: -6,-2, 2 .............58. OR Determine the AP whose fourth term is 18 and the differences of the ninth term from the fifteenth term is 30.
Answer» Find the value of the middle term of the following AP: -6,-2, 2 .............58. OR Determine the AP whose fourth term is 18 and the differences of the ninth term from the fifteenth term is 30.

9245.

Find the value of the middle term of the following AP: -6,-2, 2 .............58. OR Determine the AP whose fourth term is 18 and the differences of the ninth term from the fifteenth term is 30.

Answer»

Find the value of the middle term of the following AP: -6,-2, 2 .............58.

OR

Determine the AP whose fourth term is 18 and the differences of the ninth term from the fifteenth term is 30.

Discussion

9246.	Which similarity is used to prove that the constructed triangles are similar?
Answer» Which similarity is used to prove that the constructed triangles are similar?

Discussion

9247.	Question 8 (i)Justify whether it is true to say that the following are the nth terms of an AP.2n – 3
Answer» Question 8 (i) Justify whether it is true to say that the following are the nth terms of an AP. 2n – 3

Discussion

9248.	Two tangent segments PA and PB are drawn to a circle with centre O such that ∠APB = 120°. Prove that OP = 2 AP.
Answer» Two tangent segments PA and PB are drawn to a circle with centre O such that ∠APB = 120°. Prove that OP = 2 AP.

Discussion

9249.

Compute the mean of following data: [CBSE 2013] Class 1−3 3−5 5−7 7−9 Frequency 12 22 27 19

Answer» Compute the mean of following data: [CBSE 2013]

Class	1−3	3−5	5−7	7−9
Frequency	12	22	27	19

Discussion

9250.	Find all zeroes of the polynomial 3x3 + 10x2 – 9x – 4, if one of its zeroes is 1.
Answer» Find all zeroes of the polynomial 3x³ + 10x² – 9x – 4, if one of its zeroes is 1.

Discussion

Explore topic-wise InterviewSolutions in .

Frame the quadratic equation whose roots are -5, -12

The sum of three numbers in AP is 3 and their product is -35. find the numbers.

An observer , 1.7 m tall , is 203 m away from a tower . The angle of elevation from the eye of an observer to the top of tower is 300 . Find the height of the tower.

How many digits will 320 have if log103 = 0.4771?

In a ∆ABC, right angled at B, AB = 24 cm, BC = 7 cm. Determine(i) sin A, cos A(ii) sin C, cos C

Find the Median for the given data by drawing a 'less than ogive' :Class Interval0−1010−2020−3030−4040−50Frequency51014168

Let a,b,c,p be rational numbers such that p is not a prrfper cube, if a+bp^1/3+cp^2/3=0. Then prove that a=b=c=0.

A new unit of length is equal to 10 m. The area of 5 m^2 expressed in terms of new unit has magnitude Options: a) 0.05 b) 0.50 c) 5.05 d) 5.00

If the roots of the equation x2−bx+c=0 are two consecutive integers, then what is the value of b2−4c ?

If x. tan 45o. cot60o = sin 30o. cosec60o, then the value of x is:

Write an A.P. whose first term is a and common difference is d in each of the following.(1) a = 10, d = 5(2) a = –3, d = 0(3) a = –7, d = 12(4) a = –1.25, d = 3(5) a = 6, d = –3(6) a = 19, d = –4

Express 2.4¯¯¯5 in the form pq, where p and q are integers and q≠0, is

95.The sum of n term of an AP is 7(n)n+9n.Find the AP also find the 18term

Solve the following systems of equations:13x+y+13x-y=34123x+y-123x-y=-18

In the given figure, If PQ∥RS, prove that ΔPOQ∼ΔSOR. [2 MARKS]

The equation of a line AB is 2x - 2y + 3 = 0. (i) Find the slope of the line AB. (ii) Calculate the angle that the line AB makes with the positive direction of the x-axis.

Prove that the cube of a positive integer of the form 6m+r, where m is a integer and r=0,1,2,3,4,5 is also in the form of 6q +r

The houses of a row are number consecutively from 1 to 49. Show that there is a value of x such that the sum of numbers of the houses preceding the house numbered x is equal to the sum of the number of houses following it.Find this value of x.[Hint Sx − 1 = S49 − Sx]

The area of a rectangle remains the same if the length is increased by 7 meters and the breadth is decreased by 3 meters. The area remains unaffected if the length is decreased by 7 meters and breadth in increased by 5 meters. Find the dimensions of the rectangle.

Rain water, which falls on a flat rectangular surface of length 6 m and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm. What will be the height of water in the cylindrical vessel if a rainfall of 1 cm has fallen ?

The equation of a plane having equal intercepts on coordinate axes and is unit distance from (1,2,−3) can be ?

(sinA+cosecA)2+(cosA+secA)2=7+tan2A+cot2A

Explain why 7*11*13+13 and 7*6*5*4*3*2*1+1 are composite numbers

Find the number of terms of the A.P.-12,-9,-6,..., 21. If 1 is added to each term of this A.P., then find the sum of all terms of the A.P. thus obtained.

A line segment AB is divided at point C in a ratio of 5: 8 thenOptions:8AC = 5AB5AC = 8BC8BC = 5AB13AC = 5AB

In ∆ABC, P divides the side AB such that AP : PB = 1 : 2. Q is a point in AC such that PQ || BC. Find the ratio of the areas of ∆APQ and trapezium BPQC.

The angles of depression of the top and the bottom of a 10 m tall building from the top of a multi-storeyed building are 30∘ and 45∘, respectively. Find the height of the multi-storeyed building.

Find the value of k for which the systems of equations 5x−3y=0,2x+ky=0 has a nonzero solution.

O is the centre of the circle. ∠OAB = 20°, ∠OCB = 55°. Find ∠BOC and ∠AOC.

if x and y be two non zero vectors such that |x+y|=|x-2y| then least value of x.y+1/(|y|^2+2) is

If a square is inscribed in a quadrant of a circle of radius 4 cm such that their vertices coincide, then the area of the quadrant covered by the square is

If the Education cess is ₹500, and there is no rebatable component of Income tax declared, find the annual income if the person is 35 years old.

Express the HCF of 468 and 222 as 468x+222y in two different ways, where x, y are integers

In the given figure, CD is a diameter of the circle with centre O. Diameter CD is perpendicular to chord AB at point E. Show that∆ABC is an isosceles triangle.

The perpendicular bisectors of the three sides of an acute triangle intersect each other______.

Find the circumference of a circle whose area is 301.84 cm2

Find the value of x, given that A2 = B, A= [21201],B=[4x01] ___

If the normal at any point on the standard ellipse x^2/a^2 +y^2/b^2 =1,meets its auxillary circle at Q and R such that angle QOR equals to 90 degree ,where O is the centre of the ellipse,then prove that (a^4)+(2 b^4)>=(5a^2 b^2)+(a^3 b).

In a ΔABC, obtuse angled at B, if AD is perpendicular to CB produced, prove that AC = AB2 + BC2 + 2BC × BD

If θ is an acute angle such that tan2 θ=87, then the value of 1+sin θ 1-sin θ 1+cos θ 1-cos θis(a) 78(b) 87(c) 74(d) 6449

The [HCF × LCM] for the numbers 50 and 20 is(a) 10(b) 100 (c) 1000(d) 50

Find the value of the middle term of the following AP: -6,-2, 2 .............58. OR Determine the AP whose fourth term is 18 and the differences of the ninth term from the fifteenth term is 30.

Which similarity is used to prove that the constructed triangles are similar?

Question 8 (i)Justify whether it is true to say that the following are the nth terms of an AP.2n – 3

Two tangent segments PA and PB are drawn to a circle with centre O such that ∠APB = 120°. Prove that OP = 2 AP.

Compute the mean of following data: [CBSE 2013] Class 1−3 3−5 5−7 7−9 Frequency 12 22 27 19

Find all zeroes of the polynomial 3x3 + 10x2 – 9x – 4, if one of its zeroes is 1.

Explain why 71113+13 and 7654321+1 are composite numbers