24740 + Interview Questions in Mathematics Page 82 InterviewSolution

4051.	In △ ABC, D is a point on BC such that BD: DC = 2 : 3. If area △ ABD = 10 sq cm, then area of △ ABC = ____ sq cm.
Answer» In △ ABC, D is a point on BC such that BD: DC = 2 : 3. If area △ ABD = 10 sq cm, then area of △ ABC = ____ sq cm.

Discussion

4052.	Using the measurements given in the figure, the value of sin θ = ___
Answer» Using the measurements given in the figure, the value of $s i n θ$ = ___

4052.

Using the measurements given in the figure, the value of sin θ = ___

Answer»

Using the measurements given in the figure, the value of $s i n θ$ = ___

Discussion

4053.	Two adjacent sides of a parallelogram are 2i - 4j+ 5k and i - 2j - 3k. The unit vector parallel to its diagonal is?
Answer» Two adjacent sides of a parallelogram are 2i - 4j+ 5k and i - 2j - 3k. The unit vector parallel to its diagonal is?

Discussion

4054.	In the following figure, ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, then:
Answer» In the following figure, ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, then:

4054.

In the following figure, ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, then:

Answer»

In the following figure, ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, then:

Discussion

4055.	Three coins are tossed simultaneously 100 times:OutcomeNo head1 head2 heads3 headsFrequency23292028Find the probability of getting:i) 2 headsii) no tailsiii) no head
Answer» Three coins are tossed simultaneously 100 times: $\begin{matrix} O u t c o m e & N o h e a d & 1 h e a d & 2 h e a d s & 3 h e a d s F r e q u e n c y & 23 & 29 & 20 & 28 \end{matrix}$ Find the probability of getting: i) 2 heads ii) no tails iii) no head

Discussion

4056.	Which of the following equations does not pass through point (3,3)
Answer» Which of the following equations does not pass through point (3,3)

Discussion

4057.	Question 5In a classroom, 4 friends are seated at the points A, B, C and D as shown in the following figure. Champa and Chameli walk into the class and after observing for a few minutes Champa told Chameli, “I think ABCD is a square”. State whether Champa's statement is correct or not.
Answer» Question 5 In a classroom, 4 friends are seated at the points A, B, C and D as shown in the following figure. Champa and Chameli walk into the class and after observing for a few minutes Champa told Chameli, “I think ABCD is a square”. State whether Champa's statement is correct or not.

Discussion

4058.	Question 74 Fill in the blanks to make the statements true. In a rhombus, diagonals intersect at ___ angles.
Answer» Question 74 Fill in the blanks to make the statements true. In a rhombus, diagonals intersect at ___ angles.

Discussion

4059.	Question 16 Both x and y vary directly with each other and when x is 10, y is 14, which of the following is not a possible pair of corresponding values of x and y? (a) 25 amd 35 (b) 35 and 25 (c) 35 and 49 (d) 15 and 21
Answer» Question 16 Both x and y vary directly with each other and when x is 10, y is 14, which of the following is not a possible pair of corresponding values of x and y? (a) 25 amd 35 (b) 35 and 25 (c) 35 and 49 (d) 15 and 21

4059.

Question 16 Both x and y vary directly with each other and when x is 10, y is 14, which of the following is not a possible pair of corresponding values of x and y? (a) 25 amd 35 (b) 35 and 25 (c) 35 and 49 (d) 15 and 21

Answer»

Question 16

Both x and y vary directly with each other and when x is 10, y is 14, which of the following is not a possible pair of corresponding values of x and y?
(a) 25 amd 35
(b) 35 and 25
(c) 35 and 49
(d) 15 and 21

Discussion

4060.	Given a rectangle ABCD and P,Q,R,S mid-points of AB,BC,CD and DA respectively. If length of diagonal of rectangle is 8 cm , the quadrilateral PQRS is
Answer» Given a rectangle ABCD and P,Q,R,S mid-points of AB,BC,CD and DA respectively. If length of diagonal of rectangle is 8 cm , the quadrilateral PQRS is

Discussion

4061.	Fill in the Blank :On the line below, the distance between any two adjoining points shown on it is equal, then seg YA = ___ × seg YX.
Answer» Fill in the Blank : On the line below, the distance between any two adjoining points shown on it is equal, then seg YA = ___ $\times$ seg YX.

Discussion

4062.	In triangle ABC, the median to the side BC is of length 12√11−6√3 and it divides the angle A into angles 30∘ and 45∘. Length of the side BC is
Answer» In triangle $A B C,$ the median to the side $B C$ is of length $\frac{1}{2 \sqrt{11 - 6 \sqrt{3}}}$ and it divides the angle $A$ into angles $30^{\circ}$ and $45^{\circ}$ . Length of the side $B C$ is

Discussion

4063.	If ax + by = 3 , bx - ay = 4 and x^2 + y^2 = 1 , then the value of a^2 + b^2 is
Answer» If ax + by = 3 , bx - ay = 4 and x^2 + y^2 = 1 , then the value of a^2 + b^2 is

Discussion

4064.	Choose the shape that is not a triangle.
Answer» Choose the shape that is not a triangle.

Discussion

4065.	Which of the two rational numbers 5−12 and −49 is greater?
Answer» Which of the two rational numbers $\frac{5}{- 12}$ and $\frac{- 4}{9}$ is greater?

Discussion

4066.	cos 2θ cos 2ϕ + sin2(θ – ϕ) – sin2(θ + ϕ) is equal to(a) sin 2 (θ + ϕ)(b) cos 2 (θ + ϕ)(c) sin 2 (θ – ϕ)(d) cos 2 (θ – ϕ)
Answer» cos 2θ cos 2ϕ + sin²(θ – ϕ) – sin²(θ + ϕ) is equal to (a) sin 2 (θ + ϕ) (b) cos 2 (θ + ϕ) (c) sin 2 (θ – ϕ) (d) cos 2 (θ – ϕ)

Discussion

4067.	It is given that ∆ABC ≅ ∆RPQ, then BC = __________.
Answer» It is given that ∆ABC ≅ ∆RPQ, then BC = __________.

Discussion

4068.	1. What is the HCF of smallest prime number and the smallest composite number?
Answer» 1. What is the HCF of smallest prime number and the smallest composite number?

Discussion

4069.	If ‘a’ is a real number, what is the distance between the Y-axis and the line x = a ?
Answer» If ‘a’ is a real number, what is the distance between the Y-axis and the line x = a ?

Discussion

4070.	Question 47 In the following question, fill in the blanks to make the statements true. The standard from of 12340000 is ___ .
Answer» Question 47 In the following question, fill in the blanks to make the statements true. The standard from of 12340000 is ___ .

4070.

Question 47 In the following question, fill in the blanks to make the statements true. The standard from of 12340000 is ___ .

Answer»

Question 47

In the following question, fill in the blanks to make the statements true.

The standard from of 12340000 is ___ .

Discussion

4071.	The average weight of a class of 39 students is 40 kg. When a new student is admitted to the class, the average decreases by 200 g. Find the weight of the new student.
Answer» The average weight of a class of 39 students is 40 kg. When a new student is admitted to the class, the average decreases by 200 g. Find the weight of the new student.

Discussion

4072.	integrate x dx/1+xtanx
Answer» integrate x dx/1+xtanx

Discussion

4073.	Question 7If ABC is an equilateral triangle inscribed in a circle and P be any point on the minor arc BC which does not coincide with B or C, then prove that PA is angle bisector of ∠BPC.
Answer» Question 7 If ABC is an equilateral triangle inscribed in a circle and P be any point on the minor arc BC which does not coincide with B or C, then prove that PA is angle bisector of $∠ B P C$ .

Discussion

4074.	In the given parallelogram ABCD, O is mid-point of AB. CO and DO bisect ∠BCD and ∠ADC respectively. find the measure of ∠DOC.
Answer» In the given parallelogram ABCD, O is mid-point of AB. CO and DO bisect $∠$ BCD and $∠$ ADC respectively. find the measure of $∠$ DOC.

Discussion

4075.	If x^2-3x+2 is a factor of polynomial x^4-ax^3+b, then find the values of a and b.
Answer» If x^2-3x+2 is a factor of polynomial x^4-ax^3+b, then find the values of a and b.

Discussion

4076.	In the given figure, O is the centre of the circle. If ∠APB= 50°, find ∠AOB and ∠OAB.
Answer» In the given figure, O is the centre of the circle. If $∠ A P B$ = 50°, find ∠AOB and ∠OAB.

Discussion

4077.	the value of \sqrt[2010]{(2\sqrt7 - 3\sqrt3)\sqrt{55 + 12\sqrt{21} }} is
Answer» the value of \sqrt[2010]{(2\sqrt7 - 3\sqrt3)\sqrt{55 + 12\sqrt{21} }} is

Discussion

4078.	If ΔABC∼ΔDFE,∠A=30∘,∠C=50∘, AB=5cm,AC=8cm, and DF=7.5cm ,then which of the following is true?(A) DE=12cm,∠F=50∘(B) DE=12cm,∠F=100∘(C) EF=12cm,∠D=100∘(D) EF=12cm,∠D=30∘
Answer» If $Δ A B C \sim Δ D F E, ∠ A = 30^{\circ}, ∠ C = 50^{\circ},$ $A B = 5 c m, A C = 8 c m, a n d D F = 7.5 c m$ ,then which of the following is true? (A) $D E = 12 c m, ∠ F = 50^{\circ}$ (B) $D E = 12 c m, ∠ F = 100^{\circ}$ (C) $E F = 12 c m, ∠ D = 100^{\circ}$ (D) $E F = 12 c m, ∠ D = 30^{\circ}$

Discussion

4079.	Fill inthe boxes: (a) (b) (c)
Answer» Fill in the boxes: (a) (b) (c)

Discussion

4080.	How to represent root 5 on number line
Answer» How to represent root 5 on number line

Discussion

4081.	In the given figure, the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F is
Answer» In the given figure, the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F is

Discussion

4082.	Find the area of a right triangle whose hypotenuse is 10 cm and one of the acute angle is 24°24′. (Given: sin 24° 24′ = 0.4131, cos 24° 24′ = 0.9107)
Answer» Find the area of a right triangle whose hypotenuse is 10 cm and one of the acute angle is 24°24′. (Given: sin 24° 24′ = 0.4131, cos 24° 24′ = 0.9107)

Discussion

4083.	Check whether the point (b,a) lies on the straight line ax+by–ab=0.
Answer» Check whether the point $(b, a)$ lies on the straight line $a x + b y - a b = 0$ .

Discussion

4084.

Roshan, whose accounts are maintained by Single Entry System, acquired a retail business on 1st April, 2017. He had ₹40,000 of his own and he borrowed ₹ 20,000 from his wife. He paid ₹15,000 for Goodwill, ₹5,000 for Furniture and ₹35,000 for Stock.Total cash received by him during the financial year from the Debtors was ₹2,30,000. His payments were: ₹ Purchases 1,56,000 Salary and Wages 21,400 Trade Expenses 7,200 Rent: For business premises 5,920 For private house 2,960 Payments made for domestic purposes and drawings 26,400 At the end of the year, the Stock was ₹37,500. He owed ₹13,500 to Creditors for goods and his customers owed to him ₹15,000. Provide 5% for Depreciation on Furniture, Interest at 5% on wife's Loan and ₹1,000 for Doubtful Debts.Prepare the Cash Account, the Profit and Loss Account for the year ended 31st March, 2018 and the Balance Sheet at the close of the year.

Answer» Roshan, whose accounts are maintained by Single Entry System, acquired a retail business on 1st April, 2017. He had ₹40,000 of his own and he borrowed ₹ 20,000 from his wife. He paid ₹15,000 for Goodwill, ₹5,000 for Furniture and ₹35,000 for Stock.

Total cash received by him during the financial year from the Debtors was ₹2,30,000. His payments were:

	₹
Purchases	1,56,000
Salary and Wages	21,400
Trade Expenses	7,200

Rent:

For business premises	5,920
For private house	2,960
Payments made for domestic purposes and drawings	26,400

At the end of the year, the Stock was ₹37,500. He owed ₹13,500 to Creditors for goods and his customers owed to him ₹15,000. Provide 5% for Depreciation on Furniture, Interest at 5% on wife's Loan and ₹1,000 for Doubtful Debts.

Prepare the Cash Account, the Profit and Loss Account for the year ended 31st March, 2018 and the Balance Sheet at the close of the year.

Discussion

4085.	Cost of 6 kg of wheat is Rs. 72. a) What will be the cost of 8 kg of wheat? b) What quantity of wheat can be purchased with Rs. 61?
Answer» Cost of 6 kg of wheat is Rs. 72. a) What will be the cost of 8 kg of wheat? b) What quantity of wheat can be purchased with Rs. 61?

4085.

Cost of 6 kg of wheat is Rs. 72. a) What will be the cost of 8 kg of wheat? b) What quantity of wheat can be purchased with Rs. 61?

Answer»

Cost of 6 kg of wheat is Rs. 72.

a) What will be the cost of 8 kg of wheat?

b) What quantity of wheat can be purchased with Rs. 61?

Discussion

4086.	When 15√15is divided by 3√3 the quotient is (a)5√3 (b)3√5 (c)5√5 (d)33
Answer» When $15 \sqrt{15}$ is divided by $3 \sqrt{3}$ the quotient is (a) $5 \sqrt{3}$ (b) $3 \sqrt{5}$ (c) $5 \sqrt{5}$ (d) $33$

4086.

When 15√15is divided by 3√3 the quotient is (a)5√3 (b)3√5 (c)5√5 (d)33

Answer»

When $15 \sqrt{15}$ is divided by $3 \sqrt{3}$ the quotient is

(a) $5 \sqrt{3}$

(b) $3 \sqrt{5}$

(c) $5 \sqrt{5}$

(d) $33$

Discussion

4087.	if f(x) be a polynomial of degree four such that f(-1) = -1 , f(2) = -4 , f(-3) = -9 and f(4) = -16 , then find the f(1) .
Answer» if f(x) be a polynomial of degree four such that f(-1) = -1 , f(2) = -4 , f(-3) = -9 and f(4) = -16 , then find the f(1) .

Discussion

4088.	40. Triangle PQR is a right triangle which is right angled at Q. QX perpendicular to PR,XY perpendicular to RQ and XZ perpendicular to PQ are drawn. Prove that ZX2=PZ x ZQ
Answer» 40. Triangle PQR is a right triangle which is right angled at Q. QX perpendicular to PR,XY perpendicular to RQ and XZ perpendicular to PQ are drawn. Prove that ZX2=PZ x ZQ

Discussion

4089.	Find the value of 2√5−4√5 ?
Answer» Find the value of $2 \sqrt{5} - 4 \sqrt{5}$ ?

Discussion

4090.	From the figure, identify the three radii
Answer» From the figure, identify the three radii

4090.

From the figure, identify the three radii

Answer»

From the figure, identify the three radii

Discussion

4091.	Question 11Find the zeroes of the polynomial in each of the following.(i) p(x) = x – 4 (ii) g(x) = 3 – 6x(iii) q(x) = 2x – 7(iv) h(y) = 2y
Answer» Question 11 Find the zeroes of the polynomial in each of the following. (i) p(x) = x – 4 (ii) g(x) = 3 – 6x (iii) q(x) = 2x – 7 (iv) h(y) = 2y

4091.

Question 11Find the zeroes of the polynomial in each of the following.(i) p(x) = x – 4 (ii) g(x) = 3 – 6x(iii) q(x) = 2x – 7(iv) h(y) = 2y

Answer» Question 11

Find the zeroes of the polynomial in each of the following.

(i) p(x) = x – 4

(ii) g(x) = 3 – 6x

(iii) q(x) = 2x – 7

(iv) h(y) = 2y

Discussion

4092.	Find the volume of a cone, if its total surface area is 7128 sq.cm and radius of base is 28 cm.π=227
Answer» Find the volume of a cone, if its total surface area is 7128 sq.cm and radius of base is 28 cm. $(π = \frac{22}{7})$

Discussion

4093.	On a number line, points A, B and C are such that d(A,B) = 81, d(B,C) = 54 and d(A,C) = 36. Which of the points is between the other two?
Answer» On a number line, points A, B and C are such that d(A,B) = 81, d(B,C) = 54 and d(A,C) = 36. Which of the points is between the other two?

Discussion

4094.	Question 12Write the correct answer from the given four options.The sum of first n odd natural numbers isa) 2n+1b) n2c) n2−1d) n2+1
Answer» Question 12 Write the correct answer from the given four options. The sum of first n odd natural numbers is a) $2 n + 1$ b) $n^{2}$ c) $n^{2} - 1$ d) $n^{2} + 1$

4094.

Question 12Write the correct answer from the given four options.The sum of first n odd natural numbers isa) 2n+1b) n2c) n2−1d) n2+1

Answer»

Question 12

Write the correct answer from the given four options.

The sum of first n odd natural numbers is

a) $2 n + 1$

b) $n^{2}$

c) $n^{2} - 1$

d) $n^{2} + 1$

Discussion

4095.	The area of an equilateral triangle of side 8 cm is cm2.
Answer» The area of an equilateral triangle of side $8 cm$ is ${c m}^{2}$ .

Discussion

4096.	In the given figure, ar(DRC)=ar(DPC) and ar(BDP)=ar(ARC). Show that both the quadrilaterals ABCD and DCPR are trapeziums.
Answer» In the given figure, ar(DRC)=ar(DPC) and ar(BDP)=ar(ARC). Show that both the quadrilaterals ABCD and DCPR are trapeziums.

Discussion

4097.	If sin[90 - (A+B)] = cosx = cosyfind the value of x and y; if y is the angle C of triangle ABC. (In triangle ABC, A+B=90∘)
Answer» If sin[90 - (A+B)] = cosx = cosy find the value of x and y; if y is the angle C of triangle ABC. (In triangle ABC, A+B= $90^{\circ}$ )

4097.

If sin[90 - (A+B)] = cosx = cosyfind the value of x and y; if y is the angle C of triangle ABC. (In triangle ABC, A+B=90∘)

Answer»

If sin[90 - (A+B)] = cosx = cosy

find the value of x and y; if y is the angle C of triangle ABC. (In triangle ABC, A+B= $90^{\circ}$ )

Discussion

4098.	Question 7From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45∘ and 60∘ respectively. Find the height of the tower.
Answer» Question 7 From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are $45^{\circ}$ and $60^{\circ}$ respectively. Find the height of the tower.

Discussion

4099.	Which of the following is irrational number?
Answer» Which of the following is irrational number?

Discussion

4100.	Given an arc of a circle, show how to complete the circle.
Answer» Given an arc of a circle, show how to complete the circle.

Discussion

Explore topic-wise InterviewSolutions in .

In △ ABC, D is a point on BC such that BD: DC = 2 : 3. If area △ ABD = 10 sq cm, then area of △ ABC = ____ sq cm.

Using the measurements given in the figure, the value of sin θ = ___

Two adjacent sides of a parallelogram are 2i - 4j+ 5k and i - 2j - 3k. The unit vector parallel to its diagonal is?

In the following figure, ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, then:

Three coins are tossed simultaneously 100 times:OutcomeNo head1 head2 heads3 headsFrequency23292028Find the probability of getting:i) 2 headsii) no tailsiii) no head

Which of the following equations does not pass through point (3,3)

Question 5In a classroom, 4 friends are seated at the points A, B, C and D as shown in the following figure. Champa and Chameli walk into the class and after observing for a few minutes Champa told Chameli, “I think ABCD is a square”. State whether Champa's statement is correct or not.

Question 74 Fill in the blanks to make the statements true.​​​​​​​ In a rhombus, diagonals intersect at ___ angles.

Question 16 Both x and y vary directly with each other and when x is 10, y is 14, which of the following is not a possible pair of corresponding values of x and y? (a) 25 amd 35 (b) 35 and 25 (c) 35 and 49 (d) 15 and 21

Given a rectangle ABCD and P,Q,R,S mid-points of AB,BC,CD and DA respectively. If length of diagonal of rectangle is 8 cm , the quadrilateral PQRS is

Fill in the Blank :On the line below, the distance between any two adjoining points shown on it is equal, then seg YA = ___ × seg YX.

In triangle ABC, the median to the side BC is of length 12√11−6√3 and it divides the angle A into angles 30∘ and 45∘. Length of the side BC is

If ax + by = 3 , bx - ay = 4 and x^2 + y^2 = 1 , then the value of a^2 + b^2 is

Choose the shape that is not a triangle.

Which of the two rational numbers 5−12 and −49 is greater?

cos 2θ cos 2ϕ + sin2(θ – ϕ) – sin2(θ + ϕ) is equal to(a) sin 2 (θ + ϕ)(b) cos 2 (θ + ϕ)(c) sin 2 (θ – ϕ)(d) cos 2 (θ – ϕ)

It is given that ∆ABC ≅ ∆RPQ, then BC = __________.

1. What is the HCF of smallest prime number and the smallest composite number?

If ‘a’ is a real number, what is the distance between the Y-axis and the line x = a ?

Question 47 In the following question, fill in the blanks to make the statements true. The standard from of 12340000 is ___ .

The average weight of a class of 39 students is 40 kg. When a new student is admitted to the class, the average decreases by 200 g. Find the weight of the new student.

integrate x dx/1+xtanx

Question 7If ABC is an equilateral triangle inscribed in a circle and P be any point on the minor arc BC which does not coincide with B or C, then prove that PA is angle bisector of ∠BPC.

In the given parallelogram ABCD, O is mid-point of AB. CO and DO bisect ∠BCD and ∠ADC respectively. find the measure of ∠DOC.

If x^2-3x+2 is a factor of polynomial x^4-ax^3+b, then find the values of a and b.

In the given figure, O is the centre of the circle. If ∠APB= 50°, find ∠AOB and ∠OAB.

the value of \sqrt[2010]{(2\sqrt7 - 3\sqrt3)\sqrt{55 + 12\sqrt{21} }} is

If ΔABC∼ΔDFE,∠A=30∘,∠C=50∘, AB=5cm,AC=8cm, and DF=7.5cm ,then which of the following is true?(A) DE=12cm,∠F=50∘(B) DE=12cm,∠F=100∘(C) EF=12cm,∠D=100∘(D) EF=12cm,∠D=30∘

Fill inthe boxes: (a) (b) (c)

How to represent root 5 on number line

In the given figure, the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F is

Find the area of a right triangle whose hypotenuse is 10 cm and one of the acute angle is 24°24′. (Given: sin 24° 24′ = 0.4131, cos 24° 24′ = 0.9107)

Check whether the point (b,a) lies on the straight line ax+by–ab=0.

Cost of 6 kg of wheat is Rs. 72. a) What will be the cost of 8 kg of wheat? b) What quantity of wheat can be purchased with Rs. 61?

When 15√15is divided by 3√3 the quotient is (a)5√3 (b)3√5 (c)5√5 (d)33

if f(x) be a polynomial of degree four such that f(-1) = -1 , f(2) = -4 , f(-3) = -9 and f(4) = -16 , then find the f(1) .

40. Triangle PQR is a right triangle which is right angled at Q. QX perpendicular to PR,XY perpendicular to RQ and XZ perpendicular to PQ are drawn. Prove that ZX2=PZ x ZQ

Find the value of 2√5−4√5 ?

From the figure, identify the three radii

Question 11Find the zeroes of the polynomial in each of the following.(i) p(x) = x – 4 (ii) g(x) = 3 – 6x(iii) q(x) = 2x – 7(iv) h(y) = 2y

Find the volume of a cone, if its total surface area is 7128 sq.cm and radius of base is 28 cm.π=227

On a number line, points A, B and C are such that d(A,B) = 81, d(B,C) = 54 and d(A,C) = 36. Which of the points is between the other two?

Question 12Write the correct answer from the given four options.The sum of first n odd natural numbers isa) 2n+1b) n2c) n2−1d) n2+1

The area of an equilateral triangle of side 8 cm is cm2.

In the given figure, ar(DRC)=ar(DPC) and ar(BDP)=ar(ARC). Show that both the quadrilaterals ABCD and DCPR are trapeziums.

If sin[90 - (A+B)] = cosx = cosyfind the value of x and y; if y is the angle C of triangle ABC. (In triangle ABC, A+B=90∘)

Question 7From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45∘ and 60∘ respectively. Find the height of the tower.

Which of the following is irrational number?

Given an arc of a circle, show how to complete the circle.

Question 74 Fill in the blanks to make the statements true. In a rhombus, diagonals intersect at ___ angles.