32581 + Interview Questions in Mathematics Page 69 InterviewSolution

3401.	In the figure given below, If AB∥CD and CD∥EF and y : z = 3 : 7, find x. [4 MARKS]
Answer» In the figure given below, If $A B ∥ C D$ and $C D ∥ E F$ and y : z = 3 : 7, find x. [4 MARKS]

3401.

In the figure given below, If AB∥CD and CD∥EF and y : z = 3 : 7, find x. [4 MARKS]

Answer»

In the figure given below, If $A B ∥ C D$ and $C D ∥ E F$ and y : z = 3 : 7, find x. [4 MARKS]

3402.	Find the value of k for which the following system of equations has a unique solution:4x-5y=k2x-3y=12
Answer» Find the value of k for which the following system of equations has a unique solution: $4 x - 5 y = k 2 x - 3 y = 12$

Discussion

3403.	In Δ ABC, ∠ A=50∘, ∠ B=70∘, AB=6 cm. The length of 2 sides BC and AC are [sin 50∘=0.77, sin 60∘=0.87 sin 70∘=0.94]
Answer» In $Δ A B C, ∠ A = 50^{\circ}, ∠ B = 70^{\circ}, A B = 6 c m .$ The length of 2 sides BC and AC are $[s i n 50^{\circ} = 0.77, s i n 60^{\circ} = 0.87 s i n 70^{\circ} = 0.94]$

3403.

In Δ ABC, ∠ A=50∘, ∠ B=70∘, AB=6 cm. The length of 2 sides BC and AC are [sin 50∘=0.77, sin 60∘=0.87 sin 70∘=0.94]

Answer»

In $Δ A B C, ∠ A = 50^{\circ}, ∠ B = 70^{\circ}, A B = 6 c m .$ The length of 2 sides BC and AC are $[s i n 50^{\circ} = 0.77, s i n 60^{\circ} = 0.87 s i n 70^{\circ} = 0.94]$

Discussion

3404.	Simplify : 4(1 – sin2θ) (1 + tan2θ)
Answer» Simplify : 4(1 – $s i n^{2} θ$ ) (1 + $t a n^{2} θ$ )

Discussion

3405.	Question 4 (ii)Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically:x - y = 8, 3x - 3y = 16
Answer» Question 4 (ii) Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically: x - y = 8, 3x - 3y = 16

Discussion

3406.	The degeneracy of 3rd excited state of Li2+ is(1)4(2)(3) 25(4) 16
Answer» The degeneracy of 3rd excited state of Li2+ is(1)4(2)(3) 25(4) 16

Discussion

3407.	Very-Short-Answer QuestionsFind the values of k for which the quadratic equation 9x2-3kx+k=0 has equal roots. [CBSE 2014]
Answer» Very-Short-Answer Questions Find the values of k for which the quadratic equation $9 x^{2} - 3 k x + k = 0$ has equal roots. [CBSE 2014]

Discussion

3408.	Simplify the expression: x2 - (100×(y+z)2)÷(x−10y−10z)
Answer» Simplify the expression: $x^{2}$ - $(100 \times (y + z)^{2}) \div (x - 10 y - 10 z)$

Discussion

3409.	A function f : [–2, 2] → [–4, 3] is such that f(0) = 2, f(1) = 0, f(2) = –4, f(–1)= 3, f(–2) = 0, then the maximum value of f(\|x\| – 1) is
Answer» A function f : [–2, 2] → [–4, 3] is such that f(0) = 2, f(1) = 0, f(2) = –4, f(–1)= 3, f(–2) = 0, then the maximum value of f(\|x\| – 1) is

Discussion

3410.	Star Ltd. is a manufacturer of chemical fertilisers. Its annual turnover is ₹ 50 crores. The company had issued 5,000, 12% Debentures of ₹ 500 each at par. Calculate the amount of Debentures Redemption Reserve which needs to be created to meet the requirements of law.
Answer» Star Ltd. is a manufacturer of chemical fertilisers. Its annual turnover is ₹ 50 crores. The company had issued 5,000, 12% Debentures of ₹ 500 each at par. Calculate the amount of Debentures Redemption Reserve which needs to be created to meet the requirements of law.

Discussion

3411.	Prove the identitity: √1−sin θ1+sin θ=sec θ−tan θ [3 MARKS]
Answer» Prove the identitity: $\sqrt{\frac{1 - s i n θ}{1 + s i n θ}} = s e c θ - t a n θ$ [3 MARKS]

Discussion

3412.	If A=13202x-3, B=360-1 and AB = I, then x = __________.
Answer» If $A = [\begin{matrix} \frac{1}{3} & 2 \\ 0 & 2 x - 3 \end{matrix}], B = [\begin{matrix} 3 & 6 \\ 0 & - 1 \end{matrix}]$ and AB = I, then x = __________.

Discussion

3413.	Question 3 (ix)In an AP:(ix) Given a = 3, n = 8, S = 192, find d.
Answer» Question 3 (ix) In an AP: (ix) Given a = 3, n = 8, S = 192, find d.

Discussion

3414.	In a ∆ABC, D and E are points on the sides AB and AC respectively such that DE \|\| BC.(i) If AD = 6 cm, DB = 9 cm and AE = 8 cm, find AC.(ii) If ADDB=34 and AC = 15 cm, find AE.(iii) If ADDB=23 and AC = 18 cm, find AE.(iv) If AD = 4, AE = 8, DB = x − 4, and EC = 3x − 19, find x.(v) If AD = 8 cm, AB = 12 cm and AE = 12 cm, find CE.(vi) if AD = 4 cm, DB = 4.5 cm and AE = 8 cm, find AC.(vii) If AD = 2 cm, AB = 6 cm, and AC = 9 cm, find AE.(viii) If ADBD=45 and EC = 2.5 cm, find AE.(ix) If AD = x, DB = x − 2, AE = x + 2 and EC = x − 1, find the value of x.(x) If AD = 8x − 7, DB = 5x − 3, AE = 4x − 3 and EC = (3x − 1), find the value of x.(xi) If AD = 4x − 3, AE = 8x − 7, BD = 3x − 1 and CE = 5x − 3. find the volume x.(xii) If AD = 2.5 cm, BD = 3.0 cm and AE = 3.75 cm find the length of AC.
Answer» In a ∆ABC, D and E are points on the sides AB and AC respectively such that DE \|\| BC. (i) If AD = 6 cm, DB = 9 cm and AE = 8 cm, find AC. (ii) If $\frac{AD}{DB} = \frac{3}{4}$ and AC = 15 cm, find AE. (iii) If $\frac{AD}{DB} = \frac{2}{3}$ and AC = 18 cm, find AE. (iv) If AD = 4, AE = 8, DB = x − 4, and EC = 3x − 19, find x. (v) If AD = 8 cm, AB = 12 cm and AE = 12 cm, find CE. (vi) if AD = 4 cm, DB = 4.5 cm and AE = 8 cm, find AC. (vii) If AD = 2 cm, AB = 6 cm, and AC = 9 cm, find AE. (viii) If $\frac{AD}{BD} = \frac{4}{5}$ and EC = 2.5 cm, find AE. (ix) If AD = x, DB = x − 2, AE = x + 2 and EC = x − 1, find the value of x. (x) If AD = 8x − 7, DB = 5x − 3, AE = 4x − 3 and EC = (3x − 1), find the value of x. (xi) If AD = 4x − 3, AE = 8x − 7, BD = 3x − 1 and CE = 5x − 3. find the volume x. (xii) If AD = 2.5 cm, BD = 3.0 cm and AE = 3.75 cm find the length of AC.

Discussion

3415.	Evaluate :- cosec 31degree - sec 59 degree
Answer» Evaluate :- cosec 31degree - sec 59 degree

Discussion

3416.	In a ΔABC, the tangent of half the difference of two angles is one-third the tangent of half the sum of the two angles. The ratio of the sides opposite to the two angles is:
Answer» In a $Δ A B C$ , the tangent of half the difference of two angles is one-third the tangent of half the sum of the two angles. The ratio of the sides opposite to the two angles is:

Discussion

3417.	A cylinderical rod whose length is 8 times of its radius is melted and recast into spherical balls of same radius . the number of ball will be
Answer» A cylinderical rod whose length is 8 times of its radius is melted and recast into spherical balls of same radius . the number of ball will be

Discussion

3418.	Find the volume and surface area of a cuboid of length =10 cm, breadth =8 cm and height =6 cm.
Answer» Find the volume and surface area of a cuboid of length $= 10$ cm, breadth $= 8$ cm and height $= 6$ cm.

Discussion

3419.	when x^11 + 1is divided by x+1, then the remainder is
Answer» when x^11 + 1is divided by x+1, then the remainder is

Discussion

3420.	AB is the longest chord of a circle with centre O. P is any point on the circumference of the circle, not coinciding with A or B. Find ∠APB in degrees.
Answer» AB is the longest chord of a circle with centre O. P is any point on the circumference of the circle, not coinciding with A or B. Find $∠ A P B$ in degrees.

Discussion

3421.	Is two upon x raise to power minus 2 a polynomial?
Answer» Is two upon x raise to power minus 2 a polynomial?

Discussion

3422.	A plane left 30 munutes late than its scheduled time and in order to reach the destination 1500 km away in time, it had to increase its speed by 100 km/h from the usual speed. Find its usual speed.
Answer» A plane left 30 munutes late than its scheduled time and in order to reach the destination 1500 km away in time, it had to increase its speed by 100 km/h from the usual speed. Find its usual speed.

Discussion

3423.	In a simultaneous throw of a pair of dice, find the probability of getting same value on both.
Answer» In a simultaneous throw of a pair of dice, find the probability of getting same value on both.

Discussion

3424.	△ABC is a right angled triangle, right angled at B. BD is perpendicular to AC. What is AC . DC?
Answer» $△$ ABC is a right angled triangle, right angled at B. BD is perpendicular to AC. What is AC . DC?

3424.

△ABC is a right angled triangle, right angled at B. BD is perpendicular to AC. What is AC . DC?

Answer»

$△$ ABC is a right angled triangle, right angled at B. BD is perpendicular to AC. What is AC . DC?

Discussion

3425.	Solve :−2z−15≥11; x ϵ R
Answer» Solve $: - 2 z - 15 \geq 11; x ϵ R$

Discussion

3426.	Very-Short and Short-Answer QuestionsIf the numbers a, 9, b, 25 form an AP, find a and b. [CBSE 2014]
Answer» Very-Short and Short-Answer Questions If the numbers a, 9, b, 25 form an AP, find a and b. [CBSE 2014]

Discussion

3427.	The square of a positive integer CANNOT be of the form (k is an integer): (a) 3k + 1 (b) 4k + 2 (c) 5k + 1
Answer» The square of a positive integer CANNOT be of the form (k is an integer): (a) 3k + 1 (b) 4k + 2 (c) 5k + 1

Discussion

3428.	Match the unknown angle x in each case if O is the centre of each circle.
Answer» Match the unknown angle $x$ in each case if O is the centre of each circle.

Discussion

3429.	The system of equations x+4y-2z =1 3x+y+5z=-2 2x+3y+z=5 options 1) No solution 2) unique solution 3) finetly many solutions 4) infinetly many solution
Answer» The system of equations x+4y-2z =1 3x+y+5z=-2 2x+3y+z=5 options 1) No solution 2) unique solution 3) finetly many solutions 4) infinetly many solution

Discussion

3430.	Solve 5(x−1) + 1(y−2) = 2 6(x−1) - 3(y−2) = 1
Answer» Solve $\frac{5}{(x - 1)}$ + $\frac{1}{(y - 2)}$ = 2 $\frac{6}{(x - 1)}$ - $\frac{3}{(y - 2)}$ = 1

3430.

Solve 5(x−1) + 1(y−2) = 2 6(x−1) - 3(y−2) = 1

Answer»

Solve

$\frac{5}{(x - 1)}$ + $\frac{1}{(y - 2)}$ = 2

$\frac{6}{(x - 1)}$ - $\frac{3}{(y - 2)}$ = 1

Discussion

3431.	Which of the following inequation is equal to the given inequation 6x - 2 < 5x + 3?
Answer» Which of the following inequation is equal to the given inequation 6x - 2 < 5x + 3?

Discussion

3432.	A and B are partners in a firm with capital of ₹ 60,000 and ₹ 1,20,000 respectively. They decide to admit C into the partnership for 1/4th share in the future profits. C is to bring in a sum of ₹ 70,000 as his capital. Calculate amount of goodwill.
Answer» A and B are partners in a firm with capital of ₹ 60,000 and ₹ 1,20,000 respectively. They decide to admit C into the partnership for 1/4th share in the future profits. C is to bring in a sum of ₹ 70,000 as his capital. Calculate amount of goodwill.

Discussion

3433.	∆ABD is a right triangle right-angled at A and AC ⊥ BD. Show that(i) AB2 = BC . BD(ii) AC2 = BC . DC(iii) AD2 = BD . CD(iv) AB2AC2=BDDC
Answer» ∆ABD is a right triangle right-angled at A and AC ⊥ BD. Show that (i) AB² = BC . BD (ii) AC² = BC . DC (iii) AD² = BD . CD (iv) $\frac{{AB}^{2}}{{AC}^{2}} = \frac{BD}{DC}$

Discussion

3434.	The path of a train A is given by the equation 3x + 4y − 12 = 0 and the path of another train B is given by the equation 6x + 8y − 48 = 0. Represent this situation graphically.
Answer» The path of a train A is given by the equation 3x + 4y − 12 = 0 and the path of another train B is given by the equation 6x + 8y − 48 = 0. Represent this situation graphically.

Discussion

3435.	If in ΔABC and ΔDEF, ABDE=BCFD, then they will be similar, when _________.
Answer» If in ΔABC and ΔDEF, $\frac{A B}{D E} = \frac{B C}{F D}$ , then they will be similar, when _________.

Discussion

3436.	The base-radius of a cylindrical block of wood is 15 centimetres and its height 40 centimetres. What is the volume of the largest cone that can be carved out from this?
Answer» The base-radius of a cylindrical block of wood is 15 centimetres and its height 40 centimetres. What is the volume of the largest cone that can be carved out from this?

Discussion

3437.	A circular ground of radius 50 m has to be covered with a waterproof sheet. The same amount of waterproof sheet is also used for making a conical tent. If the base area of the tent is 625π m2, then the height of the tent is____m.
Answer» A circular ground of radius 50 $m$ has to be covered with a waterproof sheet. The same amount of waterproof sheet is also used for making a conical tent. If the base area of the tent is $625 π m^{2}$ , then the height of the tent is____ $m$ .

Discussion

3438.	A pole has to be erected at a point on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 meters. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?
Answer» A pole has to be erected at a point on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 meters. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?

Discussion

3439.	Write the truth value (T/F) of each of the following statements:(i) Any two similar figures are congruent.(ii) Any two congruent figures are similar.(iii) Two polygons are similar, if their corresponding sides are proportional.(iv) Two polygons are similar, if their corresponding angles are proportional.(v) Two triangles are similar if their corresponding sides are proportional.(vi) Two triangles are similar if their corresponding angles are proportional.
Answer» Write the truth value (T/F) of each of the following statements: (i) Any two similar figures are congruent. (ii) Any two congruent figures are similar. (iii) Two polygons are similar, if their corresponding sides are proportional. (iv) Two polygons are similar, if their corresponding angles are proportional. (v) Two triangles are similar if their corresponding sides are proportional. (vi) Two triangles are similar if their corresponding angles are proportional.

Discussion

3440.	Question 2 (i)Write first four terms of the A.P. when the first term "a" and the common difference "d" are given as follows.(i) a = 10, d = 10
Answer» Question 2 (i) Write first four terms of the A.P. when the first term "a" and the common difference "d" are given as follows. (i) a = 10, d = 10

Discussion

3441.	Solve each of the following quadratic equations: 48x2−13x−1=0
Answer» Solve each of the following quadratic equations: $48 x^{2} - 13 x - 1 = 0$

Discussion

3442.	The angles of elevation of the top of a rock from the top and foot of a 100 m high tower are respectively 30° and 45°. Find the height of the rock.
Answer» The angles of elevation of the top of a rock from the top and foot of a 100 m high tower are respectively 30° and 45°. Find the height of the rock.

Discussion

3443.	Find the value of k for which each of the following system of equations have infinitely many solutions :2x + 3y − 5 = 06x + ky − 15 = 0
Answer» Find the value of k for which each of the following system of equations have infinitely many solutions : 2x + 3y − 5 = 0 6x + ky − 15 = 0

Discussion

3444.	Question 1If Radii of two concentric circles are 4 cm and 5 cm, then length of each chord of one circle which is tangent to the other circle, is(A) 3 cm(B) 6 cm(C) 9 cm(D) 1 cm
Answer» Question 1 If Radii of two concentric circles are 4 cm and 5 cm, then length of each chord of one circle which is tangent to the other circle, is (A) 3 cm (B) 6 cm (C) 9 cm (D) 1 cm

Discussion

3445.	What's the relation between the curved surface area of a hemisphere and the total surface area of hemisphere?
Answer» What's the relation between the curved surface area of a hemisphere and the total surface area of hemisphere?

Discussion

3446.	△ABC is a right angled triangle with ∠ABC = 90∘, AC = 13 cms and BC = 5 cm. BD is perpendicular to AC. If △BDC ~ △ABC, find the length of BD. __
Answer» $△ A B C$ is a right angled triangle with $∠ A B C$ = 90 $^{\circ}$ , AC = 13 cms and BC = 5 cm. BD is perpendicular to AC. If $△ B D C$ ~ $△ A B C$ , find the length of BD. __

3446.

△ABC is a right angled triangle with ∠ABC = 90∘, AC = 13 cms and BC = 5 cm. BD is perpendicular to AC. If △BDC ~ △ABC, find the length of BD. __

Answer»

$△ A B C$ is a right angled triangle with $∠ A B C$ = 90 $^{\circ}$ , AC = 13 cms and BC = 5 cm. BD is perpendicular to AC. If $△ B D C$ ~ $△ A B C$ , find the length of BD.

__

Discussion

3447.	PQR is a right angled triangle, having \angle Q = 90^°, If QS = SR, Show that PR^2 = 4PS^2– 3PQ^2
Answer» PQR is a right angled triangle, having \angle Q = 90^°, If QS = SR, Show that PR^2 = 4PS^2– 3PQ^2

Discussion

3448.	Question 14A medicine – capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. the capacity of the capsule is(A) 0.36 cm3(B) 0.35 cm3(C) 0.34 cm3(D) 0.33 cm3
Answer» Question 14 A medicine – capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. the capacity of the capsule is (A) $0.36 c m^{3}$ (B) $0.35 c m^{3}$ (C) $0.34 c m^{3}$ (D) $0.33 c m^{3}$

Discussion

3449.	Find the equation of line perpendicular to 2 + 3 = 6 and passing through the point (–3, 4).
Answer» Find the equation of line perpendicular to 2 + 3 = 6 and passing through the point (–3, 4).

Discussion

3450.	In triangle ABC, right angled at B, if ∠A is 45∘, find the value of cot A and tan C.
Answer» In triangle ABC, right angled at B, if $∠ A$ is $45^{\circ}$ , find the value of cot A and tan C.

Discussion

Explore topic-wise InterviewSolutions in .

In the figure given below, If AB∥CD and CD∥EF and y : z = 3 : 7, find x. [4 MARKS]

Find the value of k for which the following system of equations has a unique solution:4x-5y=k2x-3y=12

In Δ ABC, ∠ A=50∘, ∠ B=70∘, AB=6 cm. The length of 2 sides BC and AC are [sin 50∘=0.77, sin 60∘=0.87 sin 70∘=0.94]

Simplify : 4(1 – sin2θ) (1 + tan2θ)

Question 4 (ii)Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically:x - y = 8, 3x - 3y = 16

The degeneracy of 3rd excited state of Li2+ is(1)4(2)(3) 25(4) 16

Very-Short-Answer QuestionsFind the values of k for which the quadratic equation 9x2-3kx+k=0 has equal roots. [CBSE 2014]

Simplify the expression: x2 - (100×(y+z)2)÷(x−10y−10z)

A function f : [–2, 2] → [–4, 3] is such that f(0) = 2, f(1) = 0, f(2) = –4, f(–1)= 3, f(–2) = 0, then the maximum value of f(|x| – 1) is

Star Ltd. is a manufacturer of chemical fertilisers. Its annual turnover is ₹ 50 crores. The company had issued 5,000, 12% Debentures of ₹ 500 each at par. Calculate the amount of Debentures Redemption Reserve which needs to be created to meet the requirements of law.

Prove the identitity: √1−sin θ1+sin θ=sec θ−tan θ [3 MARKS]

If A=13202x-3, B=360-1 and AB = I, then x = __________.

Question 3 (ix)In an AP:(ix) Given a = 3, n = 8, S = 192, find d.

Evaluate :- cosec 31degree - sec 59 degree

In a ΔABC, the tangent of half the difference of two angles is one-third the tangent of half the sum of the two angles. The ratio of the sides opposite to the two angles is:

A cylinderical rod whose length is 8 times of its radius is melted and recast into spherical balls of same radius . the number of ball will be

Find the volume and surface area of a cuboid of length =10 cm, breadth =8 cm and height =6 cm.

when x^11 + 1is divided by x+1, then the remainder is

AB is the longest chord of a circle with centre O. P is any point on the circumference of the circle, not coinciding with A or B. Find ∠APB in degrees.

Is two upon x raise to power minus 2 a polynomial?

A plane left 30 munutes late than its scheduled time and in order to reach the destination 1500 km away in time, it had to increase its speed by 100 km/h from the usual speed. Find its usual speed.

In a simultaneous throw of a pair of dice, find the probability of getting same value on both.

△ABC is a right angled triangle, right angled at B. BD is perpendicular to AC. What is AC . DC?

Solve :−2z−15≥11; x ϵ R

Very-Short and Short-Answer QuestionsIf the numbers a, 9, b, 25 form an AP, find a and b. [CBSE 2014]

The square of a positive integer CANNOT be of the form (k is an integer): (a) 3k + 1 (b) 4k + 2 (c) 5k + 1

Match the unknown angle x in each case if O is the centre of each circle.

The system of equations x+4y-2z =1 3x+y+5z=-2 2x+3y+z=5 options 1) No solution 2) unique solution 3) finetly many solutions 4) infinetly many solution

Solve 5(x−1) + 1(y−2) = 2 6(x−1) - 3(y−2) = 1

Which of the following inequation is equal to the given inequation 6x - 2 &lt; 5x + 3?

A and B are partners in a firm with capital of ₹ 60,000 and ₹ 1,20,000 respectively. They decide to admit C into the partnership for 1/4th share in the future profits. C is to bring in a sum of ₹ 70,000 as his capital. Calculate amount of goodwill.

∆ABD is a right triangle right-angled at A and AC ⊥ BD. Show that(i) AB2 = BC . BD(ii) AC2 = BC . DC(iii) AD2 = BD . CD(iv) AB2AC2=BDDC

The path of a train A is given by the equation 3x + 4y − 12 = 0 and the path of another train B is given by the equation 6x + 8y − 48 = 0. Represent this situation graphically.

If in ΔABC and ΔDEF, ABDE=BCFD, then they will be similar, when _________.

The base-radius of a cylindrical block of wood is 15 centimetres and its height 40 centimetres. What is the volume of the largest cone that can be carved out from this?

A circular ground of radius 50 m has to be covered with a waterproof sheet. The same amount of waterproof sheet is also used for making a conical tent. If the base area of the tent is 625π m2, then the height of the tent is____m.

Question 2 (i)Write first four terms of the A.P. when the first term "a" and the common difference "d" are given as follows.(i) a = 10, d = 10

Solve each of the following quadratic equations: 48x2−13x−1=0

The angles of elevation of the top of a rock from the top and foot of a 100 m high tower are respectively 30° and 45°. Find the height of the rock.

Find the value of k for which each of the following system of equations have infinitely many solutions :2x + 3y − 5 = 06x + ky − 15 = 0

Question 1If Radii of two concentric circles are 4 cm and 5 cm, then length of each chord of one circle which is tangent to the other circle, is(A) 3 cm(B) 6 cm(C) 9 cm(D) 1 cm

What's the relation between the curved surface area of a hemisphere and the total surface area of hemisphere?

△ABC is a right angled triangle with ∠ABC = 90∘, AC = 13 cms and BC = 5 cm. BD is perpendicular to AC. If △BDC ~ △ABC, find the length of BD. __

PQR is a right angled triangle, having \angle Q = 90^°, If QS = SR, Show that PR^2 = 4PS^2– 3PQ^2

Question 14A medicine – capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. the capacity of the capsule is(A) 0.36 cm3(B) 0.35 cm3(C) 0.34 cm3(D) 0.33 cm3

Find the equation of line perpendicular to 2 + 3 = 6 and passing through the point (–3, 4).

In triangle ABC, right angled at B, if ∠A is 45∘, find the value of cot A and tan C.

Which of the following inequation is equal to the given inequation 6x - 2 < 5x + 3?