32581 + Interview Questions in Mathematics Page 262 InterviewSolution

13051.	In Fig. 7.139, ∠ABC=90∘ and BD⊥AC. If BD = 8 cm and AD = 4 cm, find CD.
Answer» In Fig. 7.139, $∠ A B C = 90^{\circ}$ and $B D ⊥ A C$ . If BD = 8 cm and AD = 4 cm, find CD.

13051.

In Fig. 7.139, ∠ABC=90∘ and BD⊥AC. If BD = 8 cm and AD = 4 cm, find CD.

Answer»

In Fig. 7.139, $∠ A B C = 90^{\circ}$ and $B D ⊥ A C$ . If BD = 8 cm and AD = 4 cm, find CD.

13052.	Draw an angle of measure 135∘ and bisect it.
Answer» Draw an angle of measure $135^{\circ}$ and bisect it.

Discussion

13053.	If x=7+43 and xy =1, then 1x2+1y2=(a) 64(b) 134(c) 194(d) 1/49
Answer» If $x = 7 + 4 \sqrt{3}$ and xy =1, then $\frac{1}{x^{2}} + \frac{1}{y^{2}} =$ (a) 64 (b) 134 (c) 194 (d) 1/49

Discussion

13054.	A six digit number divisible by 6 is to be formedusing the digits 0, 1, 2, 3, 4, 5 without repetition.The total number of ways is
Answer» A six digit number divisible by 6 is to be formedusing the digits 0, 1, 2, 3, 4, 5 without repetition.The total number of ways is

Discussion

13055.	How many cubes of edge 4 cm, each can be cut out from cuboid whose length, breadth and height are 20 cm, 18 cm and 16 cm respectively
Answer» How many cubes of edge 4 cm, each can be cut out from cuboid whose length, breadth and height are 20 cm, 18 cm and 16 cm respectively

Discussion

13056.	A solid consists of a circular cylinder with an exact fitting right circular cone placed at the top. The height of the cone is h. If the total volume of the solid is 3 times the volume of the cone, then the height of the circular is(a) 2h(b) 2h3(c) 3h2(d) 4h
Answer» A solid consists of a circular cylinder with an exact fitting right circular cone placed at the top. The height of the cone is h. If the total volume of the solid is 3 times the volume of the cone, then the height of the circular is (a) 2h (b) $\frac{2 h}{3}$ (c) $\frac{3 h}{2}$ (d) 4h

Discussion

13057.	19.In solving an equation of the form ax - b = 0 (a,b having only 1 as the common factor), A made a mistake in copying b and got 7/3 as the root whereas B made a mistake in copying a and got 8/5 as the root. The correct root is
Answer» 19.In solving an equation of the form ax - b = 0 (a,b having only 1 as the common factor), A made a mistake in copying b and got 7/3 as the root whereas B made a mistake in copying a and got 8/5 as the root. The correct root is

Discussion

13058.	Using trignometrical ratios of complementary angles prove that: tan1tan2tan3........tan89 = 1
Answer» Using trignometrical ratios of complementary angles prove that: tan1tan2tan3........tan89 = 1

13058.

Using trignometrical ratios of complementary angles prove that: tan1tan2tan3........tan89 = 1

Answer»

Using trignometrical ratios of complementary angles prove that:

tan1*tan2*tan3........tan89 = 1

Discussion

13059.	In the given figure, the vertices of square DEFG are on the sides of ∆ABC. ∠A = 90°. Then prove that DE2 = BD × EC (Hint : Show that ∆GBD is similar to ∆CFE. Use GD = FE = DE.)
Answer» In the given figure, the vertices of square DEFG are on the sides of ∆ABC. ∠A = 90°. Then prove that DE² = BD × EC (Hint : Show that ∆GBD is similar to ∆CFE. Use GD = FE = DE.)

Discussion

13060.	Simplify xx2+3x−4+4xx2+7x+12.
Answer» Simplify $\frac{x}{x^{2} + 3 x - 4} + \frac{4 x}{x^{2} + 7 x + 12} .$

Discussion

13061.	If (a+ib)(c+id)(e+if)(g+ih)=A+iB then show that (a2+b2)(c2+d2)(e2+f2)(g2+h2) =A2+B2
Answer» If $(a + i b) (c + i d) (e + i f) (g + i h) = A + i B$ then show that $(a^{2} + b^{2}) (c^{2} + d^{2}) (e^{2} + f^{2}) (g^{2} + h^{2})$ $= A^{2} + B^{2}$

Discussion

13062.	Find a30 − a20 for the A.P.(i) −9, −14, −19, −24, ...(ii) a,a + d, a + 2d, a + 3d, ...
Answer» Find a₃₀ − a₂₀ for the A.P. (i) −9, −14, −19, −24, ... (ii) a,a + d, a + 2d, a + 3d, ...

Discussion

13063.	From the given figure, find∠AOB(in degrees ).140
Answer» $From the given figure, find ∠ A O B (in degrees ) .$ 140

Discussion

13064.	A circus tent is cylindrical to a height of 4m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required is (a) 1760 m2 (b) 2640 m2 (c) 3960 m2 (d) 7920 m2
Answer» A circus tent is cylindrical to a height of 4m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required is (a) $1760 m^{2}$ (b) $2640 m^{2}$ (c) $3960 m^{2}$ (d) $7920 m^{2}$

13064.

A circus tent is cylindrical to a height of 4m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required is (a) 1760 m2 (b) 2640 m2 (c) 3960 m2 (d) 7920 m2

Answer»

A circus tent is cylindrical to a height of 4m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required is

(a) $1760 m^{2}$ (b) $2640 m^{2}$

(c) $3960 m^{2}$ (d) $7920 m^{2}$

Discussion

13065.	If the point P (2, 1 ) lies on the line segment joining points A (4,20 and B (8, 4) , then (a) AP = 13AB (b) AP = BP (C) PB = 13AB (D) AP = 12AB
Answer» If the point P (2, 1 ) lies on the line segment joining points A (4,20 and B (8, 4) , then (a) $A P = \frac{1}{3} A B$ (b) AP = BP (C) PB = $\frac{1}{3} A B$ (D) $A P = \frac{1}{2} A B$

Discussion

13066.	Use the Factor Theorem to determine whether g(x) is a factor of p(x) p(x)=x3−4x2+x+6, g(x)=x−3
Answer» Use the Factor Theorem to determine whether g(x) is a factor of p(x) $p (x) = x^{3} - 4 x^{2} + x + 6, g (x) = x - 3$

Discussion

13067.	If k is a scalar and I is a unit matrix of order 3, then adj(kI) =
Answer» If k is a scalar and I is a unit matrix of order 3, then adj(kI) =

Discussion

13068.	Two cubes each of volume 125 cm3 are joined end to end to form a solid. Find the surface area of the resulting cuboid. [CBSE 2013C]
Answer» Two cubes each of volume 125 cm³ are joined end to end to form a solid. Find the surface area of the resulting cuboid. [CBSE 2013C]

Discussion

13069.	2cot2θ+5tan2θ+7cosec2θ+tan2θ+1−2cos2θ is equal to
Answer» $\frac{2 {cot}^{2} θ + 5 {tan}^{2} θ + 7}{c o s e c^{2} θ + {tan}^{2} θ + 1} - 2 {cos}^{2} θ$ is equal to

Discussion

13070.

Prepare a Cash Book with Cash and Bank Columns from the following transactions:− 2017 March 1 Cash in hand ₹ 1,800 and at Bank ₹ 11,000. 5 Received a cheque for commission ₹ 3,960. Cheque was immediately deposited into bank. 7 Bought goods for cheque ₹ 7,000. 8 Bought goods for cash ₹ 500. 10 Purchased a Computer and payment made by cheque of ₹ 5,000. 14 Paid Trade Expenses ₹ 105. 16 Paid into Bank ₹ 1,000. 18 Ramesh who owed us ₹ 500 became bankrupt and paid us 50 paise in a ₹. 20 Received ₹ 400 from Manohar and allowed him discount ₹ 10. 23 Withdrew from Bank ₹ 400. 23 Paid ₹ 300 to Ghanshyam Dass & Co. They allowed us discount ₹ 10. 24 Received ₹ 2,000 from Hari Ram and deposited the same into Bank. 25 Withdrew from Bank for private expenses ₹ 300. 27 Sold goods for cash ₹ 200. 28 Received cheque for goods sold ₹ 9,000. 29 Received repayment of a loan of ₹ 5,000 and deposited ₹ 3,000 out of it into Bank. 30 Bank charges as per Book ₹ 5.

Answer» Prepare a Cash Book with Cash and Bank Columns from the following transactions:−

2017
March 1	Cash in hand ₹ 1,800 and at Bank ₹ 11,000.
5	Received a cheque for commission ₹ 3,960. Cheque was immediately deposited into bank.
7	Bought goods for cheque ₹ 7,000.
8	Bought goods for cash ₹ 500.
10	Purchased a Computer and payment made by cheque of ₹ 5,000.
14	Paid Trade Expenses ₹ 105.
16	Paid into Bank ₹ 1,000.
18	Ramesh who owed us ₹ 500 became bankrupt and paid us 50 paise in a ₹.
20	Received ₹ 400 from Manohar and allowed him discount ₹ 10.
23	Withdrew from Bank ₹ 400.
23	Paid ₹ 300 to Ghanshyam Dass & Co. They allowed us discount ₹ 10.
24	Received ₹ 2,000 from Hari Ram and deposited the same into Bank.
25	Withdrew from Bank for private expenses ₹ 300.
27	Sold goods for cash ₹ 200.
28	Received cheque for goods sold ₹ 9,000.
29	Received repayment of a loan of ₹ 5,000 and deposited ₹ 3,000 out of it into Bank.
30	Bank charges as per Book ₹ 5.

Discussion

13071.	Find the roots of each of the following equations, if they exist, by applying the quadratic formula:2x2+7x+52=0 [CBSE 2013]
Answer» Find the roots of each of the following equations, if they exist, by applying the quadratic formula: $\sqrt{2} x^{2} + 7 x + 5 \sqrt{2} = 0$ [CBSE 2013]

Discussion

13072.	David deposited ₹300 per month in a recurring deposit account. If he gets ₹7725 at the end of two years on maturity, find the rate of interest (in %) on recurring deposit.7
Answer» David deposited ₹300 per month in a recurring deposit account. If he gets ₹7725 at the end of two years on maturity, find the rate of interest (in %) on recurring deposit. 7

Discussion

13073.	If A and B are symmetric matrices of the same order and X = AB + BA and Y = AB - BA, then (XY)T is equal to
Answer» If A and B are symmetric matrices of the same order and X = AB + BA and Y = AB - BA, then $(X Y)^{T}$ is equal to

Discussion

13074.	If one of the zeroes of a quadratic polynomial (k−1)x2+kx+1 is -3, then the value of k is .
Answer» If one of the zeroes of a quadratic polynomial $(k - 1) x^{2} + k x + 1$ is -3, then the value of k is .

Discussion

13075.	Question 3 A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by the train.
Answer» Question 3 A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by the train.

Discussion

13076.	What is the inradius of an equilateral triangle, the length of whose sides is 2√3 cm?
Answer» What is the inradius of an equilateral triangle, the length of whose sides is $2 \sqrt{3}$ cm?

Discussion

13077.	The length of tangent from a point A at a distance of 5 cm from the centre of the circle is 4 cm. What is the radius of the circle?
Answer» The length of tangent from a point A at a distance of 5 cm from the centre of the circle is 4 cm. What is the radius of the circle?

Discussion

13078.	If the roots of the equation (b - c)x^2 + (c - a)x + (a - b) =0 are equal, then prove that 2b = a + c
Answer» If the roots of the equation (b - c)x^2 + (c - a)x + (a - b) =0 are equal, then prove that 2b = a + c

Discussion

13079.	Solve the following quadratic equations by factorization:a2x2-3abx+2b2=0
Answer» Solve the following quadratic equations by factorization: $a^{2} x^{2} - 3 a b x + 2 b^{2} = 0$

Discussion

13080.	Objective Questions (MCQ)The roots of the quadratic equation 2x2-x-6=0 are(a) -2, 32 (b) 2, -32 (c) -2, -32 (d) 2, 32 [CBSE 2012]
Answer» Objective Questions (MCQ) The roots of the quadratic equation $2 x^{2} - x - 6 = 0$ are (a) $- 2, \frac{3}{2}$ (b) $2, \frac{- 3}{2}$ (c) $- 2, \frac{- 3}{2}$ (d) $2, \frac{3}{2}$ [CBSE 2012]

Discussion

13081.	Does the point p(-2,4) lie on a circle of a radius 6 units and center at c(3,5)?
Answer» Does the point p(-2,4) lie on a circle of a radius 6 units and center at c(3,5)?

Discussion

13082.	Height of a solid cylinder is 10 cm and diameter 8 cm. Two equal conical hole have been made from its both ends. If the diameter oaf the holes is 6 cm and height 4 cm, find (i) volume of the cylinder, (ii) volume of one conical hole, (iii) volume of the remaining solid.
Answer» Height of a solid cylinder is 10 cm and diameter 8 cm. Two equal conical hole have been made from its both ends. If the diameter oaf the holes is 6 cm and height 4 cm, find (i) volume of the cylinder, (ii) volume of one conical hole, (iii) volume of the remaining solid.

Discussion

13083.	Can ( x - 7 ) be the remainder on division of a polynomial p ( x ) by (7x+2) ? Justify your answer.
Answer» Can ( x - 7 ) be the remainder on division of a polynomial p ( x ) by (7x+2) ? Justify your answer.

Discussion

13084.	The area of the triangle with vertices (a, b+ c), (b, c + a) and (c, a + b) is
Answer» The area of the triangle with vertices (a, b+ c), (b, c + a) and (c, a + b) is

Discussion

13085.	The rational number between 7 and 8 is
Answer» The rational number between 7 and 8 is

Discussion

13086.	Draw a circle of radius 6 cm. Draw a tangent to this circle making an angle of 30∘ with a line passing through the centre.
Answer» Draw a circle of radius 6 cm. Draw a tangent to this circle making an angle of $30^{\circ}$ with a line passing through the centre.

Discussion

13087.	If a line passes through the points (2, 5) and (-1, -1), equation of the line is .
Answer» If a line passes through the points (2, 5) and (-1, -1), equation of the line is .

Discussion

13088.	Two circles intersect each other at points A and B. Their common tangent touches the circles at points P and Q as shown in the figure.Then, prove that the angles PAQ and PBQ are supplementary.
Answer» Two circles intersect each other at points A and B. Their common tangent touches the circles at points P and Q as shown in the figure.Then, prove that the angles PAQ and PBQ are supplementary.

13088.

Two circles intersect each other at points A and B. Their common tangent touches the circles at points P and Q as shown in the figure.Then, prove that the angles PAQ and PBQ are supplementary.

Answer»

Two circles intersect each other at points A and B. Their common tangent touches the circles at points P and Q as shown in the figure.Then, prove that the angles PAQ and PBQ are supplementary.

Discussion

13089.	In a two-digit number, the units digit is twice the ten's digit. Also, if 27 is added to the number, the digits interchange there places. Find the number.
Answer» In a two-digit number, the units digit is twice the ten's digit. Also, if 27 is added to the number, the digits interchange there places. Find the number.

Discussion

13090.	From the expression, do we get 0, 1 or 2 for some number x?
Answer» From the expression, do we get 0, 1 or 2 for some number x?

Discussion

13091.	The price of 1 kg oranges is thrice the price of 1 kg apples. Which of the following linear equation represents the given statement ? (Assume the the price of 1 kg oranges to be x and of 1 kg apples to be y)
Answer» The price of 1 kg oranges is thrice the price of 1 kg apples. Which of the following linear equation represents the given statement ? (Assume the the price of 1 kg oranges to be x and of 1 kg apples to be y)

Discussion

13092.	A boy A s†an ding at height of 48 km throws a packet to his friend B s†an ding 64 km away on ground.then find the dis†an ce B would have to walk to get the packe
Answer» A boy A s†an ding at height of 48 km throws a packet to his friend B s†an ding 64 km away on ground.then find the dis†an ce B would have to walk to get the packe

Discussion

13093.	The centre O of a circle of radius 2 cm lies on the origin. Another circle C(O′, r) touches the given circle at A, positive X-axis and positive Y-axis at B and C respectively. The length of their direct common tangent which has positive slope is
Answer» The centre O of a circle of radius 2 cm lies on the origin. Another circle C(O′, r) touches the given circle at A, positive X-axis and positive Y-axis at B and C respectively. The length of their direct common tangent which has positive slope is

Discussion

13094.	A line AB meets X-axis at A and Y-axis at B. P(4, -1) divides AB in the ratio 1 : 2.(i) Find the co-ordinates of A and B.(ii) Find the equation of the line through P and perpendicular to AB.
Answer» A line AB meets X-axis at A and Y-axis at B. P(4, -1) divides AB in the ratio 1 : 2. (i) Find the co-ordinates of A and B. (ii) Find the equation of the line through P and perpendicular to AB.

13094.

A line AB meets X-axis at A and Y-axis at B. P(4, -1) divides AB in the ratio 1 : 2.(i) Find the co-ordinates of A and B.(ii) Find the equation of the line through P and perpendicular to AB.

Answer»

A line AB meets X-axis at A and Y-axis at B. P(4, -1) divides AB in the ratio 1 : 2.

(i) Find the co-ordinates of A and B.

(ii) Find the equation of the line through P and perpendicular to AB.

Discussion

13095.	P(3, 4), Q(7, -2) and R(-2, -1) are the vertices of a triangle PQR. Find the equation of the median of the triangle through R.
Answer» P(3, 4), Q(7, -2) and R(-2, -1) are the vertices of a triangle PQR. Find the equation of the median of the triangle through R.

Discussion

13096.	The 13th term of an AP is 4 times its 3rd term. If its 5th term is 16, find the sum of its first 10 terms. [CBSE 2015]
Answer» The 13th term of an AP is 4 times its 3rd term. If its 5th term is 16, find the sum of its first 10 terms. [CBSE 2015]

Discussion

13097.	The solution set of the inequation \|x + 2\| > 5 is
Answer» The solution set of the inequation \|x + 2\| > 5 is

Discussion

13098.	The angles of a quadrilateral are in AP whose common difference is 10∘ find the angle.
Answer» The angles of a quadrilateral are in AP whose common difference is $10^{\circ}$ find the angle.

Discussion

13099.	In Fig. 4.60, AD bisects ∠A, AB = 12 cm, AC = 20 cm and BD = 5 cm, determine CD.
Answer» In Fig. 4.60, AD bisects ∠A, AB = 12 cm, AC = 20 cm and BD = 5 cm, determine CD.

13099.

In Fig. 4.60, AD bisects ∠A, AB = 12 cm, AC = 20 cm and BD = 5 cm, determine CD.

Answer»

In Fig. 4.60, AD bisects ∠A, AB = 12 cm, AC = 20 cm and BD = 5 cm, determine CD.

Discussion

13100.	P is a point on the line segment joining the points (3, 2, –1) and (6, 2, –2). If x-coordinate of P is 5, then its y-coordinates is(a) 2 (b) 1 (c) –1 (d) –2
Answer» P is a point on the line segment joining the points (3, 2, –1) and (6, 2, –2). If x-coordinate of P is 5, then its y-coordinates is (a) 2 (b) 1 (c) –1 (d) –2

Discussion

Explore topic-wise InterviewSolutions in .

In Fig. 7.139, ∠ABC=90∘ and BD⊥AC. If BD = 8 cm and AD = 4 cm, find CD.

Draw an angle of measure 135∘ and bisect it.

If x=7+43 and xy =1, then 1x2+1y2=(a) 64(b) 134(c) 194(d) 1/49

A six digit number divisible by 6 is to be formedusing the digits 0, 1, 2, 3, 4, 5 without repetition.The total number of ways is

How many cubes of edge 4 cm, each can be cut out from cuboid whose length, breadth and height are 20 cm, 18 cm and 16 cm respectively

A solid consists of a circular cylinder with an exact fitting right circular cone placed at the top. The height of the cone is h. If the total volume of the solid is 3 times the volume of the cone, then the height of the circular is(a) 2h(b) 2h3(c) 3h2(d) 4h

19.In solving an equation of the form ax - b = 0 (a,b having only 1 as the common factor), A made a mistake in copying b and got 7/3 as the root whereas B made a mistake in copying a and got 8/5 as the root. The correct root is

Using trignometrical ratios of complementary angles prove that: tan1*tan2*tan3........tan89 = 1

In the given figure, the vertices of square DEFG are on the sides of ∆ABC. ∠A = 90°. Then prove that DE2 = BD × EC (Hint : Show that ∆GBD is similar to ∆CFE. Use GD = FE = DE.)

Simplify xx2+3x−4+4xx2+7x+12.

If (a+ib)(c+id)(e+if)(g+ih)=A+iB then show that (a2+b2)(c2+d2)(e2+f2)(g2+h2) =A2+B2

Find a30 − a20 for the A.P.(i) −9, −14, −19, −24, ...(ii) a,a + d, a + 2d, a + 3d, ...

From the given figure, find∠AOB(in degrees ).140

A circus tent is cylindrical to a height of 4m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required is (a) 1760 m2 (b) 2640 m2 (c) 3960 m2 (d) 7920 m2

If the point P (2, 1 ) lies on the line segment joining points A (4,20 and B (8, 4) , then (a) AP = 13AB (b) AP = BP (C) PB = 13AB (D) AP = 12AB

Use the Factor Theorem to determine whether g(x) is a factor of p(x) p(x)=x3−4x2+x+6, g(x)=x−3

If k is a scalar and I is a unit matrix of order 3, then adj(kI) =

Two cubes each of volume 125 cm3 are joined end to end to form a solid. Find the surface area of the resulting cuboid. [CBSE 2013C]

2cot2θ+5tan2θ+7cosec2θ+tan2θ+1−2cos2θ is equal to

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:2x2+7x+52=0 [CBSE 2013]

David deposited ₹300 per month in a recurring deposit account. If he gets ₹7725 at the end of two years on maturity, find the rate of interest (in %) on recurring deposit.7

If A and B are symmetric matrices of the same order and X = AB + BA and Y = AB - BA, then (XY)T is equal to

If one of the zeroes of a quadratic polynomial (k−1)x2+kx+1 is -3, then the value of k is .

What is the inradius of an equilateral triangle, the length of whose sides is 2√3 cm?

The length of tangent from a point A at a distance of 5 cm from the centre of the circle is 4 cm. What is the radius of the circle?

If the roots of the equation (b - c)x^2 + (c - a)x + (a - b) =0 are equal, then prove that 2b = a + c

Solve the following quadratic equations by factorization:a2x2-3abx+2b2=0

Objective Questions (MCQ)The roots of the quadratic equation 2x2-x-6=0 are(a) -2, 32 (b) 2, -32 (c) -2, -32 (d) 2, 32 [CBSE 2012]

Does the point p(-2,4) lie on a circle of a radius 6 units and center at c(3,5)?

Height of a solid cylinder is 10 cm and diameter 8 cm. Two equal conical hole have been made from its both ends. If the diameter oaf the holes is 6 cm and height 4 cm, find (i) volume of the cylinder, (ii) volume of one conical hole, (iii) volume of the remaining solid.

Can ( x - 7 ) be the remainder on division of a polynomial p ( x ) by (7x+2) ? Justify your answer.

The area of the triangle with vertices (a, b+ c), (b, c + a) and (c, a + b) is

The rational number between 7 and 8 is

Draw a circle of radius 6 cm. Draw a tangent to this circle making an angle of 30∘ with a line passing through the centre.

If a line passes through the points (2, 5) and (-1, -1), equation of the line is .

Two circles intersect each other at points A and B. Their common tangent touches the circles at points P and Q as shown in the figure.Then, prove that the angles PAQ and PBQ are supplementary.

In a two-digit number, the units digit is twice the ten's digit. Also, if 27 is added to the number, the digits interchange there places. Find the number.

From the expression, do we get 0, 1 or 2 for some number x?

The price of 1 kg oranges is thrice the price of 1 kg apples. Which of the following linear equation represents the given statement ? (Assume the the price of 1 kg oranges to be x and of 1 kg apples to be y)

A boy A s†an ding at height of 48 km throws a packet to his friend B s†an ding 64 km away on ground.then find the dis†an ce B would have to walk to get the packe

The centre O of a circle of radius 2 cm lies on the origin. Another circle C(O′, r) touches the given circle at A, positive X-axis and positive Y-axis at B and C respectively. The length of their direct common tangent which has positive slope is

A line AB meets X-axis at A and Y-axis at B. P(4, -1) divides AB in the ratio 1 : 2.(i) Find the co-ordinates of A and B.(ii) Find the equation of the line through P and perpendicular to AB.

P(3, 4), Q(7, -2) and R(-2, -1) are the vertices of a triangle PQR. Find the equation of the median of the triangle through R.

The 13th term of an AP is 4 times its 3rd term. If its 5th term is 16, find the sum of its first 10 terms. [CBSE 2015]

The solution set of the inequation |x + 2| > 5 is

The angles of a quadrilateral are in AP whose common difference is 10∘ find the angle.

In Fig. 4.60, AD bisects ∠A, AB = 12 cm, AC = 20 cm and BD = 5 cm, determine CD.

P is a point on the line segment joining the points (3, 2, –1) and (6, 2, –2). If x-coordinate of P is 5, then its y-coordinates is(a) 2 (b) 1 (c) –1 (d) –2

Using trignometrical ratios of complementary angles prove that: tan1tan2tan3........tan89 = 1