32581 + Interview Questions in Mathematics Page 131 InterviewSolution

6501.	The graph of the polynomial f(x) = ax2 + bx + c is as shown below (Fig. 2.19). Write the signs of 'a' and b2 − 4ac.
Answer» The graph of the polynomial f(x) = ax² + bx + c is as shown below (Fig. 2.19). Write the signs of 'a' and b² − 4ac.

Discussion

6502.	Show that the cube of a positive integer of the form 6q+r, where q is an integer and r= 0,1,2,3,4,5 is also of the form 6m+r.
Answer» Show that the cube of a positive integer of the form 6q+r, where q is an integer and r= 0,1,2,3,4,5 is also of the form 6m+r.

Discussion

6503.	State difference between rods and cones
Answer» State difference between rods and cones

Discussion

6504.	Divide 57086 by 247 and check the result by division algorithm.
Answer» Divide 57086 by 247 and check the result by division algorithm.

Discussion

6505.	In the given figure, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade.
Answer» In the given figure, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade.

6505.

In the given figure, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade.

Answer»

In the given figure, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade.

Discussion

6506.	In the fromula for mode of a grouped data ,mode =l+[t1−t02f1−f0−f2]×h ,where symbols have their usual meaning f1 represents
Answer» In the fromula for mode of a grouped data , mode $= l + [\frac{t_{1} - t_{0}}{2 f_{1} - f_{0} - f_{2}}] \times h$ , where symbols have their usual meaning $f_{1}$ represents

Discussion

6507.	A cuboid is formed by joining two cubes of volume 216 cm3. Total surface area of the cuboid will be .
Answer» A cuboid is formed by joining two cubes of volume $216 c m^{3}$ . Total surface area of the cuboid will be .

Discussion

6508.	If Fig. 10.49, PS = 3 cm, QS = 4 cm, ∠PRQ = θ, ∠PSQ = 90°, PQ ⊥ RQ and RQ = 9 cm. Evaluate tan θ.
Answer» If Fig. 10.49, PS = 3 cm, QS = 4 cm, ∠PRQ = θ, ∠PSQ = 90°, PQ ⊥ RQ and RQ = 9 cm. Evaluate tan θ.

Discussion

6509.	Area of triangle
Answer» Area of triangle

Discussion

6510.	If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, prove that the other two sides are divided in the same ratio.
Answer» If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, prove that the other two sides are divided in the same ratio.

Discussion

6511.	There are 100 cards numbered from 1 to 100 in a box. If a card is drawn from the box andthe probability of an event is 12, then the number of favourable cases to the event is(a) 20 (b) 25 (c) 40 (d) 50
Answer» There are 100 cards numbered from 1 to 100 in a box. If a card is drawn from the box and the probability of an event is $\frac{1}{2}$ , then the number of favourable cases to the event is (a) 20 (b) 25 (c) 40 (d) 50

Discussion

6512.	In Q. No. 1, The probability that the digit is even is(a) 49(b) 59(c) 19(d) 23
Answer» In Q. No. 1, The probability that the digit is even is (a) $\frac{4}{9}$ (b) $\frac{5}{9}$ (c) $\frac{1}{9}$ (d) $\frac{2}{3}$

Discussion

6513.	13. Let a and b be positive integer show that root 2 always lies between a÷b and a+2b÷a+b
Answer» 13. Let a and b be positive integer show that root 2 always lies between a÷b and a+2b÷a+b

Discussion

6514.	Puneeth is building a slide for kids. If the ladder is 8 ft tall and he wants the bottom of the slide to be 15 ft from the ladder, how long does the slide need to be?
Answer» Puneeth is building a slide for kids. If the ladder is 8 ft tall and he wants the bottom of the slide to be 15 ft from the ladder, how long does the slide need to be?

Discussion

6515.	Find the common difference of the following arithmetic progression.3+2√2, 3+4√2, 3+6√2, 3+8√2
Answer» Find the common difference of the following arithmetic progression. $3 + 2 \sqrt{2}, 3 + 4 \sqrt{2}, 3 + 6 \sqrt{2}, 3 + 8 \sqrt{2}$

Discussion

6516.	If PQRS is a parallelogram, with point A on QR, then APAB is equal to
Answer» If PQRS is a parallelogram, with point A on QR, then $\frac{A P}{A B}$ is equal to

Discussion

6517.	If the 10th term of an AP is 52 and 17th term is 20 more than its 13th term, find the AP.
Answer» If the 10th term of an AP is 52 and 17th term is 20 more than its 13th term, find the AP.

Discussion

6518.	Find the value of K such that product of its roots is -7 in the polynomial Kx^2 +21x-14
Answer» Find the value of K such that product of its roots is -7 in the polynomial Kx^2 +21x-14

Discussion

6519.	Question 1Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimensions 16cm×8cm×8cm. when 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. Give your answer to the nearest integer. [use π=3.14]
Answer» Question 1 Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimensions $16 c m \times 8 c m \times 8 c m$ . when 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. Give your answer to the nearest integer. $[u s e π = 3.14]$

Discussion

6520.	A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water.A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water.Find the value of water.(Take π=227) (i) displaced out of the cylinder. (ii)left in the cylinder.
Answer» A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water.A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water.Find the value of water. $(T a k e π = \frac{22}{7})$ (i) displaced out of the cylinder. (ii)left in the cylinder.

6520.

A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water.A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water.Find the value of water.(Take π=227) (i) displaced out of the cylinder. (ii)left in the cylinder.

Answer»

A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water.A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water.Find the value of water. $(T a k e π = \frac{22}{7})$

(i) displaced out of the cylinder.

(ii)left in the cylinder.

Discussion

6521.	∫(\operatorname{sin}x\cdot\operatorname{cos}x\cdot\operatorname{cos}2x\cdot\operatorname{cos}4x\cdot\operatorname{cos}8x\cdot\operatorname{cos}16x)dx is equal to
Answer» ∫(\operatorname{sin}x\cdot\operatorname{cos}x\cdot\operatorname{cos}2x\cdot\operatorname{cos}4x\cdot\operatorname{cos}8x\cdot\operatorname{cos}16x)dx is equal to

Discussion

6522.	For a positive integer n, find the value of (1-i)n1-1in.
Answer» For a positive integer n, find the value of $(1 - i)^{n} {(1 - \frac{1}{i})}^{n}$ .

Discussion

6523.	A man has a recurring deposit account and deposits Rs. 2000 per month at an interest rate of 24%. If he got Rs. 27,120 after the end of the maturity period, Find the time (in months) for which account was held.
Answer» A man has a recurring deposit account and deposits Rs. 2000 per month at an interest rate of 24%. If he got Rs. 27,120 after the end of the maturity period, Find the time (in months) for which account was held.

Discussion

6524.	Question 5The total surface area of a cone whose radius is r2and slant height 2l is:A) 2πr(l+r)B) πr(l+r4)C) πr(l+r)D) 2πrl
Answer» Question 5 The total surface area of a cone whose radius is $\frac{r}{2}$ and slant height 2l is: A) $2 π r (l + r)$ B) $π r (l + \frac{r}{4})$ C) $π r (l + r)$ D) $2 π r l$

Discussion

6525.	Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
Answer» Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.

Discussion

6526.

In two factories A and B, located in the same industrial area, the average weekly wages in rupees and the Standard Deviation are as follows: Factory Average of wages in Rs. S.D. of wages in Rs. A B 34.5 28.5 6.21 4.56 Determine which factory has greater variability in individual wages?

Answer»

In two factories A and B, located in the same industrial area, the average weekly wages in rupees and the Standard Deviation are as follows:

Factory

Average of wages in Rs.

S.D. of wages in Rs.

A

B

34.5

28.5

6.21

4.56

Determine which factory has greater variability in individual wages?

Discussion

6527.	A T.V. Tower stands vertically on a bank of a river. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60°. From a point 20 m away this point on the same bank, the angle of elevation of the top of the tower is 30°. Find the height of the tower and the width of the river.
Answer» A T.V. Tower stands vertically on a bank of a river. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60°. From a point 20 m away this point on the same bank, the angle of elevation of the top of the tower is 30°. Find the height of the tower and the width of the river.

Discussion

6528.	Which geometric shape has the minimum surface area for a given volume?
Answer» Which geometric shape has the minimum surface area for a given volume?

Discussion

6529.	A solid iron rectangular block of dimensions 4.4 m, 2.6 m and 1 m is cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. Find the length of the pipe (in m).
Answer» A solid iron rectangular block of dimensions 4.4 m, 2.6 m and 1 m is cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. Find the length of the pipe (in m).

Discussion

6530.	Find the quadratic polynomial whose zeroes are -3 and -5.verify the relation between the coefficient and zeroes of polynomial
Answer» Find the quadratic polynomial whose zeroes are -3 and -5.verify the relation between the coefficient and zeroes of polynomial

Discussion

6531.	A (5, 3), B (-1, 1) and C (7, -3) are the vertices of triangle ABC. If L is the mid-point of AB and M is the mid-point of AC, show that : LM=12 BC.
Answer» A (5, 3), B (-1, 1) and C (7, -3) are the vertices of triangle ABC. If L is the mid-point of AB and M is the mid-point of AC, show that : LM= $\frac{1}{2}$ BC.

Discussion

6532.	Question 1 (ix) Find the zeroes of the following polynomials by factorization method and verify the relations between the zeroes and the coefficient of the polynomials (ix) y2+32√5y−5
Answer» Question 1 (ix) Find the zeroes of the following polynomials by factorization method and verify the relations between the zeroes and the coefficient of the polynomials (ix) $y^{2} + \frac{3}{2} \sqrt{5} y - 5$

Discussion

6533.	Question 7 Which constant must be added and subtracted to solve the quadratic equation 9x2+34x−√2=0 (A) 18 (B) 164 (C) 14 (D) 964
Answer» Question 7 Which constant must be added and subtracted to solve the quadratic equation $9 x^{2} + \frac{3}{4} x - \sqrt{2} = 0$ (A) $\frac{1}{8}$ (B) $\frac{1}{64}$ (C) $\frac{1}{4}$ (D) $\frac{9}{64}$

Discussion

6534.	If the length of the diagonal of square is 10 cm, then find the value of the side of the square.
Answer» If the length of the diagonal of square is 10 cm, then find the value of the side of the square.

Discussion

6535.	Solve graphically each of the following systems of linear equations. Also find the coordinates of the points where the lines meet axis of y. (i) 2x - 5y + 4 = 0, 2x - y - 8 = 0 (ii) 3x + 2y = 12 5x - 2y = 4 (iii) 2x + y - 11 = 0, x - y - 1 = 0 (iv) x + 2y - 7 = 0 2x - y - 4 = 0 (v) 3x + y - 5 = 0 2x - y - 5 = 0 (vi) 2x - y - 5 = 0 x - y - 3 = 0
Answer» Solve graphically each of the following systems of linear equations. Also find the coordinates of the points where the lines meet axis of y. (i) 2x - 5y + 4 = 0, 2x - y - 8 = 0 (ii) 3x + 2y = 12 5x - 2y = 4 (iii) 2x + y - 11 = 0, x - y - 1 = 0 (iv) x + 2y - 7 = 0 2x - y - 4 = 0 (v) 3x + y - 5 = 0 2x - y - 5 = 0 (vi) 2x - y - 5 = 0 x - y - 3 = 0

6535.

Solve graphically each of the following systems of linear equations. Also find the coordinates of the points where the lines meet axis of y. (i) 2x - 5y + 4 = 0, 2x - y - 8 = 0 (ii) 3x + 2y = 12 5x - 2y = 4 (iii) 2x + y - 11 = 0, x - y - 1 = 0 (iv) x + 2y - 7 = 0 2x - y - 4 = 0 (v) 3x + y - 5 = 0 2x - y - 5 = 0 (vi) 2x - y - 5 = 0 x - y - 3 = 0

Answer»

Solve graphically each of the following systems of linear equations. Also find the coordinates of the points where the lines meet axis of y.

(i) 2x - 5y + 4 = 0,

2x - y - 8 = 0

(ii) 3x + 2y = 12

5x - 2y = 4

(iii) 2x + y - 11 = 0,

x - y - 1 = 0

(iv) x + 2y - 7 = 0

2x - y - 4 = 0

(v) 3x + y - 5 = 0

2x - y - 5 = 0

(vi) 2x - y - 5 = 0

x - y - 3 = 0

Discussion

6536.	A boat running upstream takes 9 hours to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
Answer» A boat running upstream takes $9$ hours to cover a certain distance, while it takes $4$ hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

Discussion

6537.	8. Find the value of }\operatorname{sin}^25^°+\operatorname{sin}^210^°+\operatorname{sin}^215^°+...+\operatorname{sin}^290^°
Answer» 8. Find the value of }\operatorname{sin}^25^°+\operatorname{sin}^210^°+\operatorname{sin}^215^°+...+\operatorname{sin}^290^°

Discussion

6538.	The number of integers a,b,c for which a^2 + b^2 -8c = 3 is?
Answer» The number of integers a,b,c for which a^2 + b^2 -8c = 3 is?

Discussion

6539.

The following table gives the production yield per hectare of wheat of 100 farms of a village. Production yield (kg/ha) 50−55 55−60 60−65 65−70 70−75 75−80 Number of farms 2 8 12 24 38 16 Change the distribution to a 'more than type' distribution and draw its ogive. Using ogive, find the median of the given data. [CBSE 2013]

Answer» The following table gives the production yield per hectare of wheat of 100 farms of a village.

Production yield (kg/ha)	50−55	55−60	60−65	65−70	70−75	75−80
Number of farms	2	8	12	24	38	16

Change the distribution to a 'more than type' distribution and draw its ogive. Using ogive, find the median of the given data. [CBSE 2013]

Discussion

6540.	SOLVE : x²-6x+[x]+7=0
Answer» SOLVE : x²-6x+[x]+7=0

Discussion

6541.	If the zeros of the polynomial f(x) = ax3 + 3bx2 + 3cx + d are in A.P., prove that 2b3 − 3abc + a2d = 0.
Answer» If the zeros of the polynomial f(x) = ax³ + 3bx² + 3cx + d are in A.P., prove that 2b³ − 3abc + a²d = 0.

Discussion

6542.	If graph of quadratic polynomial ax2 + bx + c cuts positive direction of y-axis, then what is the sign of c?
Answer» If graph of quadratic polynomial ax² + bx + c cuts positive direction of y-axis, then what is the sign of c?

Discussion

6543.	One card is drawn from a deck of 52 cards. The probability of drawing a black card is
Answer» One card is drawn from a deck of 52 cards. The probability of drawing a black card is

Discussion

6544.	22. What is the distance of point P(x,y) from the origin.
Answer» 22. What is the distance of point P(x,y) from the origin.

Discussion

6545.	What is the coefficient of z in (z−5)3?
Answer» What is the coefficient of $z$ in $(z - 5)^{3}$ ?

Discussion

6546.	A cylindrical jar of height 'H' and radius 'R' is used to fill water in a cone of same height and radius. How many conical jars can it fill?
Answer» A cylindrical jar of height 'H' and radius 'R' is used to fill water in a cone of same height and radius. How many conical jars can it fill?

Discussion

6547.	Construct two chords of length 10 cm. and 6 cm. on the same side of the centre of a circle, whose radius is 6 cm. Measure the distance between the centre and the chords.
Answer» Construct two chords of length 10 cm. and 6 cm. on the same side of the centre of a circle, whose radius is 6 cm. Measure the distance between the centre and the chords.

Discussion

6548.	A company purchased assets of the book value of Rs 99,000 from another Co. It was agreed that the purchase consideration be paid by issuing 11% Debentures of Rs 100 each. Assume that the debentures have been issued (i) at par, (ii) at a discount of 10%, and (iii) at a premium of 10%. Give necessary journal entries in the books of purchasing company.
Answer» A company purchased assets of the book value of Rs 99,000 from another Co. It was agreed that the purchase consideration be paid by issuing $11 %$ Debentures of Rs 100 each. Assume that the debentures have been issued (i) at par, (ii) at a discount of $10 %$ , and (iii) at a premium of $10 %$ . Give necessary journal entries in the books of purchasing company.

6548.

A company purchased assets of the book value of Rs 99,000 from another Co. It was agreed that the purchase consideration be paid by issuing 11% Debentures of Rs 100 each. Assume that the debentures have been issued (i) at par, (ii) at a discount of 10%, and (iii) at a premium of 10%. Give necessary journal entries in the books of purchasing company.

Answer»

A company purchased assets of the book value of Rs 99,000 from another Co. It was agreed that the purchase consideration be paid by issuing $11 %$ Debentures of Rs 100 each. Assume that the debentures have been issued (i) at par, (ii) at a discount of $10 %$ , and (iii) at a premium of $10 %$ .

Give necessary journal entries in the books of purchasing company.

Discussion

6549.	If the line x - 4y - 6 = 0 is the perpendicular bisector of the line segment PQ and the coordinates of P are (1,3), find the coordinates of Q.
Answer» If the line x - 4y - 6 = 0 is the perpendicular bisector of the line segment PQ and the coordinates of P are (1,3), find the coordinates of Q.

Discussion

6550.	The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment if L = 124.942 when C = 20 and L = 125.134 when C = 110, express L in terms of C.
Answer» The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment if L = 124.942 when C = 20 and L = 125.134 when C = 110, express L in terms of C.

Discussion

Explore topic-wise InterviewSolutions in .

The graph of the polynomial f(x) = ax2 + bx + c is as shown below (Fig. 2.19). Write the signs of 'a' and b2 − 4ac.

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

State difference between rods and cones

Divide 57086 by 247 and check the result by division algorithm.

In the fromula for mode of a grouped data ,mode =l+[t1−t02f1−f0−f2]×h ,where symbols have their usual meaning f1 represents

A cuboid is formed by joining two cubes of volume 216 cm3. Total surface area of the cuboid will be .

If Fig. 10.49, PS = 3 cm, QS = 4 cm, ∠PRQ = θ, ∠PSQ = 90°, PQ ⊥ RQ and RQ = 9 cm. Evaluate tan θ.

Area of triangle

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, prove that the other two sides are divided in the same ratio.

There are 100 cards numbered from 1 to 100 in a box. If a card is drawn from the box andthe probability of an event is 12, then the number of favourable cases to the event is(a) 20 (b) 25 (c) 40 (d) 50

In Q. No. 1, The probability that the digit is even is(a) 49(b) 59(c) 19(d) 23

13. Let a and b be positive integer show that root 2 always lies between a÷b and a+2b÷a+b

Puneeth is building a slide for kids. If the ladder is 8 ft tall and he wants the bottom of the slide to be 15 ft from the ladder, how long does the slide need to be?

Find the common difference of the following arithmetic progression.3+2√2, 3+4√2, 3+6√2, 3+8√2

If PQRS is a parallelogram, with point A on QR, then APAB is equal to

If the 10th term of an AP is 52 and 17th term is 20 more than its 13th term, find the AP.

Find the value of K such that product of its roots is -7 in the polynomial Kx^2 +21x-14

Question 1Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimensions 16cm×8cm×8cm. when 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. Give your answer to the nearest integer. [use π=3.14]

A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water.A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water.Find the value of water.(Take π=227) (i) displaced out of the cylinder. (ii)left in the cylinder.

∫(\operatorname{sin}x\cdot\operatorname{cos}x\cdot\operatorname{cos}2x\cdot\operatorname{cos}4x\cdot\operatorname{cos}8x\cdot\operatorname{cos}16x)dx is equal to

For a positive integer n, find the value of (1-i)n1-1in.

A man has a recurring deposit account and deposits Rs. 2000 per month at an interest rate of 24%. If he got Rs. 27,120 after the end of the maturity period, Find the time (in months) for which account was held.

Question 5The total surface area of a cone whose radius is r2and slant height 2l is:A) 2πr(l+r)B) πr(l+r4)C) πr(l+r)D) 2πrl​​​​​​​

Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.

In two factories A and B, located in the same industrial area, the average weekly wages in rupees and the Standard Deviation are as follows: Factory Average of wages in Rs. S.D. of wages in Rs. A B 34.5 28.5 6.21 4.56 Determine which factory has greater variability in individual wages?

Which geometric shape has the minimum surface area for a given volume?

A solid iron rectangular block of dimensions 4.4 m, 2.6 m and 1 m is cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. Find the length of the pipe (in m).

Find the quadratic polynomial whose zeroes are -3 and -5.verify the relation between the coefficient and zeroes of polynomial

A (5, 3), B (-1, 1) and C (7, -3) are the vertices of triangle ABC. If L is the mid-point of AB and M is the mid-point of AC, show that : LM=12 BC.

Question 1 (ix) Find the zeroes of the following polynomials by factorization method and verify the relations between the zeroes and the coefficient of the polynomials (ix) y2+32√5y−5

Question 7 Which constant must be added and subtracted to solve the quadratic equation 9x2+34x−√2=0 (A) 18 (B) 164 (C) 14 (D) 964

If the length of the diagonal of square is 10 cm, then find the value of the side of the square.

A boat running upstream takes 9 hours to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

8. Find the value of }\operatorname{sin}^25^°+\operatorname{sin}^210^°+\operatorname{sin}^215^°+...+\operatorname{sin}^290^°

The number of integers a,b,c for which a^2 + b^2 -8c = 3 is?

SOLVE : x²-6x+[x]+7=0

If the zeros of the polynomial f(x) = ax3 + 3bx2 + 3cx + d are in A.P., prove that 2b3 − 3abc + a2d = 0.

If graph of quadratic polynomial ax2 + bx + c cuts positive direction of y-axis, then what is the sign of c?

One card is drawn from a deck of 52 cards. The probability of drawing a black card is

22. What is the distance of point P(x,y) from the origin.

What is the coefficient of z in (z−5)3?

A cylindrical jar of height 'H' and radius 'R' is used to fill water in a cone of same height and radius. How many conical jars can it fill?

Construct two chords of length 10 cm. and 6 cm. on the same side of the centre of a circle, whose radius is 6 cm. Measure the distance between the centre and the chords.

If the line x - 4y - 6 = 0 is the perpendicular bisector of the line segment PQ and the coordinates of P are (1,3), find the coordinates of Q.

The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment if L = 124.942 when C = 20 and L = 125.134 when C = 110, express L in terms of C.

Question 5The total surface area of a cone whose radius is r2and slant height 2l is:A) 2πr(l+r)B) πr(l+r4)C) πr(l+r)D) 2πrl