24740 + Interview Questions in Mathematics Page 60 InterviewSolution

2951.	Draw a circle of radius 6 cm using ruler and compasses. Draw one of its diameters. Draw the perpendicular bisector of this diameter. Does this perpendicular bisector contain another diameter of the circle?
Answer» Draw a circle of radius 6 cm using ruler and compasses. Draw one of its diameters. Draw the perpendicular bisector of this diameter. Does this perpendicular bisector contain another diameter of the circle?

Discussion

2952.	In a circle of radius 3 centimetres, what is the length of an arc of central angle 30°?
Answer» In a circle of radius 3 centimetres, what is the length of an arc of central angle 30°?

2952.

In a circle of radius 3 centimetres, what is the length of an arc of central angle 30°?

Answer»

In a circle of radius 3 centimetres, what is the length of an arc of central angle 30°?

Discussion

2953.	f(x) = x3 −6x2 − 19x + 84, g(x) = x − 7
Answer» f(x) = x³ −6x² − 19x + 84, g(x) = x − 7

Discussion

2954.	If the ratio of volumes of two spheres is 1 : 8 then the ratio of their surface areas is
Answer» If the ratio of volumes of two spheres is 1 : 8 then the ratio of their surface areas is

Discussion

2955.	GIVEN TWO DISTINCT PERPENDICULAR LINES l AND m.IS THERE A POINT THAT LIES ON BOTH l AND m?IF YES,HOW MANY SUCH POINTS ARE THERE?
Answer» GIVEN TWO DISTINCT PERPENDICULAR LINES l AND m.IS THERE A POINT THAT LIES ON BOTH l AND m?IF YES,HOW MANY SUCH POINTS ARE THERE?

Discussion

2956.	Solve the following linear equation.n2−3n4+5n6=21
Answer» Solve the following linear equation. $\frac{n}{2} - \frac{3 n}{4} + \frac{5 n}{6} = 21$

Discussion

2957.	The length, width and height of a rectangular solid are in the ratio of 3 : 2 : 1. If the volume of the box is 48cm3, the total surface area of the box is(a) 27 cm2(b) 32 cm2(c) 44 cm2(d) 88 cm2
Answer» The length, width and height of a rectangular solid are in the ratio of 3 : 2 : 1. If the volume of the box is 48cm³, the total surface area of the box is (a) 27 cm² (b) 32 cm² (c) 44 cm² (d) 88 cm²

Discussion

2958.	1,2,3,4,5...... The above set of numbers is known as _______.
Answer» 1,2,3,4,5...... The above set of numbers is known as _______.

Discussion

2959.	125 + 8x3 − 27y3 + 90xy
Answer» 125 + 8x³ − 27y³ + 90xy

Discussion

2960.	Find the value of y for which the distance between the point p(2,-3) and q(10,y) is 10 units
Answer» Find the value of y for which the distance between the point p(2,-3) and q(10,y) is 10 units

Discussion

2961.	Sum of two numbers is 4 more than the twice of difference of the two numbers. If one of the two numbers is three more than the other number, then find the numbers.
Answer» Sum of two numbers is 4 more than the twice of difference of the two numbers. If one of the two numbers is three more than the other number, then find the numbers.

Discussion

2962.	Ashok keeps incomplete records. The position of his business on 1st April, 2016 was as follows:Cash in Hand ₹ 2,200; Cash at Bank ₹ 5,400; Stock ₹ 25,100; Sundry Debtors ₹ 18,700; Furniture ₹ 6,000; Sundry Creditors ₹ 13,500.His position on 31st March, 2017 was as follows:Cash in Hand ₹ 1,500; Cash at Bank ₹ 8,400; B/R ₹ 3,300; Stock ₹ 26,000; Sundry Debtors ₹ 24,600; Furniture ₹ 8,000; Sundry Creditors ₹ 14,200.During the year he had withdrawn from the business ₹ 18,000, of which ₹ 9,200 were spent in purchasing a Typewriter for the business.(a) Depreciate furniture and typewriter by 10%.(b) Write off ₹ 600 as Bad-Debts.(c) Make a provision of 5% on Debtors for doubtful debts.Calculate the profit or loss of his business for the year ended 31st March, 2017 and prepare a final statement of affairs, after the above adjustments.
Answer» Ashok keeps incomplete records. The position of his business on 1st April, 2016 was as follows: Cash in Hand ₹ 2,200; Cash at Bank ₹ 5,400; Stock ₹ 25,100; Sundry Debtors ₹ 18,700; Furniture ₹ 6,000; Sundry Creditors ₹ 13,500. His position on 31st March, 2017 was as follows: Cash in Hand ₹ 1,500; Cash at Bank ₹ 8,400; B/R ₹ 3,300; Stock ₹ 26,000; Sundry Debtors ₹ 24,600; Furniture ₹ 8,000; Sundry Creditors ₹ 14,200. During the year he had withdrawn from the business ₹ 18,000, of which ₹ 9,200 were spent in purchasing a Typewriter for the business. (a) Depreciate furniture and typewriter by 10%. (b) Write off ₹ 600 as Bad-Debts. (c) Make a provision of 5% on Debtors for doubtful debts. Calculate the profit or loss of his business for the year ended 31st March, 2017 and prepare a final statement of affairs, after the above adjustments.

Discussion

2963.	62. Write a linear equation representing a line which is parallel to y-axis and is at a distance of 2 units.
Answer» 62. Write a linear equation representing a line which is parallel to y-axis and is at a distance of 2 units.

Discussion

2964.	If the area of an isosceles right-angled triangle is 72 cm2, then its perimeter is _________.
Answer» If the area of an isosceles right-angled triangle is 72 cm², then its perimeter is _________.

Discussion

2965.	In the given construction of a ΔABC, ∠CAB will be
Answer» In the given construction of a $Δ A B C$ , $∠ C A B$ will be

Discussion

2966.	Let f : A → B and g : B → C be the bijective functions. Then, (gof)–1 =(a) f–1o g–1(b) fog(c) g–1of–1(d) gof
Answer» Let f : A → B and g : B → C be the bijective functions. Then, (gof)^–1 = (a) f^–1o g^–1 (b) fog (c) g^–1of^–1 (d) gof

Discussion

2967.	In the given figure, l \|\| m and a transversal t cuts them. If ∠7 = 80°, find the measure of each of the remaining marked angles.
Answer» In the given figure, l \|\| m and a transversal t cuts them. If ∠7 = 80°, find the measure of each of the remaining marked angles.

Discussion

2968.	The algebraic sum of the vectors directed from the vertices to the mid-points of the opposite side is equal to ________________.
Answer» The algebraic sum of the vectors directed from the vertices to the mid-points of the opposite side is equal to ________________.

Discussion

2969.	Two cylindrical jars have their diameters in the ratio 3 : 1, but height 1 : 3. Then the ratio of their volumes is(a) 1 : 4(b) 1 : 3(c) 3 : 1(d) 2 : 5
Answer» Two cylindrical jars have their diameters in the ratio 3 : 1, but height 1 : 3. Then the ratio of their volumes is (a) 1 : 4 (b) 1 : 3 (c) 3 : 1 (d) 2 : 5

Discussion

2970.	Two (big and small) garbage blocks are organized by stacking them on top of each other. Find the height of the big grabage block.
Answer» Two (big and small) garbage blocks are organized by stacking them on top of each other. Find the height of the big grabage block.

Discussion

2971.	The function f(x)=2\|x\|+\|x+2\|−\|\|x+2\|−2\|x\|\| has a local minimum or a local maximum at x=
Answer» The function $f (x) = 2 \| x \| + \| x + 2 \| - \| \| x + 2 \| - 2 \| x \| \|$ has a local minimum or a local maximum at x=

Discussion

2972.	Question 12Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.
Answer» Question 12 Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.

Discussion

2973.	When constructing a histogram with non-uniform (unequal) class widths, we must ensure that the areas of the rectangles are proportional to the ___________.
Answer» When constructing a histogram with non-uniform (unequal) class widths, we must ensure that the areas of the rectangles are proportional to the ___________.

Discussion

2974.	8. The number of rational points on the circumference of a circle having center (22/7, e) is
Answer» 8. The number of rational points on the circumference of a circle having center (22/7, e) is

Discussion

2975.	Write the contrapositive of the following statement. 'If ΔABC is right-angled at B, then AB2+BC2=AC2
Answer» Write the contrapositive of the following statement. 'If $Δ A B C$ is right-angled at B, then $A B^{2} + B C^{2} = A C^{2}$

2975.

Write the contrapositive of the following statement. 'If ΔABC is right-angled at B, then AB2+BC2=AC2

Answer»

Write the contrapositive of the following statement.

'If $Δ A B C$ is right-angled at B, then $A B^{2} + B C^{2} = A C^{2}$

Discussion

2976.	When 5a2b+10b2c2−21ab+32 is subtracted from 50−20b2c2−4bc−ac−5ab we get
Answer» When $5 a^{2} b + 10 b^{2} c^{2} - 21 a b + 32$ is subtracted from $50 - 20 b^{2} c^{2} - 4 b c - a c - 5 a b$ we get

Discussion

2977.	In ABC, ∠A = 50o, ∠B = 60o and ∠C = 70o. Find the measures of the angles of the triangle formed by hoining the mid points of the sides of this trangle.
Answer» In ABC, ∠A = 50^o, ∠B = 60^o and ∠C = 70^o. Find the measures of the angles of the triangle formed by hoining the mid points of the sides of this trangle.

2977.

In ABC, ∠A = 50o, ∠B = 60o and ∠C = 70o. Find the measures of the angles of the triangle formed by hoining the mid points of the sides of this trangle.

Answer»

In ABC, ∠A = 50^o, ∠B = 60^o and ∠C = 70^o. Find the measures of the angles of the triangle formed by hoining the mid points of the sides of this trangle.

Discussion

2978.	If sec θ+tan θ=k then find the value of sec θ - tan θ in terms of k.
Answer» If sec θ+tan θ=k then find the value of sec θ - tan θ in terms of k.

Discussion

2979.	In the figure below, if ∠PQR = ∠PRQ, then, which of the following is/are true?
Answer» In the figure below, if $∠$ PQR = $∠$ PRQ, then, which of the following is/are true?

2979.

In the figure below, if ∠PQR = ∠PRQ, then, which of the following is/are true?

Answer»

In the figure below, if $∠$ PQR = $∠$ PRQ, then, which of the following is/are true?

Discussion

2980.	Question 13In Fig. 12.31, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of the shaded region. (Use π=3.14)
Answer» Question 13 In Fig. 12.31, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of the shaded region. $(U s e π = 3.14)$

2980.

Question 13In Fig. 12.31, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of the shaded region. (Use π=3.14)

Answer»

Question 13

In Fig. 12.31, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of the shaded region. $(U s e π = 3.14)$

Discussion

2981.	If f(x+y,x−y)=xy, then f(x,y)+f(y,x)2=
Answer» If $f (x + y, x - y) = x y,$ then $\frac{f (x, y) + f (y, x)}{2} =$

Discussion

2982.	Let A = {x : x is an even natural number and 1< x ≤ 12} andB = { x : x is a multiple of 3, x ϵ N and x ≤ 12} be two sets. Find A ∩ B. Are both sets disjoint?
Answer» Let A = {x : x is an even natural number and 1< x $\leq$ 12} and B = { x : x is a multiple of 3, x $ϵ$ N and x $\leq$ 12} be two sets. Find A $\cap$ B. Are both sets disjoint?

Discussion

2983.	Sector is the portion of a circle inscribed by ____ and an arc.
Answer» Sector is the portion of a circle inscribed by ____ and an arc.

Discussion

2984.	The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Show that ar (ABCD)=ar(PBQR). [4 MARKS]
Answer» The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Show that ar (ABCD)=ar(PBQR). [4 MARKS]

Discussion

2985.	A cylindrical water tank of diameter 1.4 m and height 2.1 m is being fed by a pipe of diameter 3.5 cm throught which water flowes at the rate of 2 metre per second. In how much time the tank will be filled ?
Answer» A cylindrical water tank of diameter 1.4 m and height 2.1 m is being fed by a pipe of diameter 3.5 cm throught which water flowes at the rate of 2 metre per second. In how much time the tank will be filled ?

Discussion

2986.	In the given figure, P and Q are the mid-points of AC and AB, respectively. Also, PG = GR and HQ = HR. Calculte the ratio of area of ΔPQR to area of ΔABC.
Answer» In the given figure, P and Q are the mid-points of AC and AB, respectively. Also, PG = GR and HQ = HR. Calculte the ratio of area of $Δ P Q R$ to area of $Δ A B C .$

2986.

In the given figure, P and Q are the mid-points of AC and AB, respectively. Also, PG = GR and HQ = HR. Calculte the ratio of area of ΔPQR to area of ΔABC.

Answer»

In the given figure, P and Q are the mid-points of AC and AB, respectively. Also, PG = GR and HQ = HR. Calculte the ratio of area of $Δ P Q R$ to area of $Δ A B C .$

Discussion

2987.	In the given figure, if O is the centre of the circle, then find the measure of ∠OCD+∠ODC.
Answer» In the given figure, if O is the centre of the circle, then find the measure of $∠ O C D + ∠ O D C .$

Discussion

2988.	x2+5x−24 can be factorized as .
Answer» $x^{2} + 5 x - 24$ can be factorized as .

Discussion

2989.	Given that 1 cubic cm of marble weighs 0.25 kg, the weight of marble block 28 cm in width and 5 cm thick is 112 kg. Find the length of the block.
Answer» Given that 1 cubic cm of marble weighs 0.25 kg, the weight of marble block 28 cm in width and 5 cm thick is 112 kg. Find the length of the block.

Discussion

2990.	Which one of the following is a correct statement?
Answer» Which one of the following is a correct statement?

Discussion

2991.	Maximum value of solid angle of sphere
Answer» Maximum value of solid angle of sphere

Discussion

2992.	8. Find area ofor parallelogram whose diagonal are 2i+3j+3k and 5i+3j-2k
Answer» 8. Find area ofor parallelogram whose diagonal are 2i+3j+3k and 5i+3j-2k

Discussion

2993.	Factories the following polynomials.(a) 16x4–81(b) (a–b)2+4ab
Answer» Factories the following polynomials. $(a) 16 x^{4} - 81$ $(b) (a - b)^{2} + 4 a b$

Discussion

2994.	If the points P(1,4),Q(2,3) and R(−1,6) are collinear, then which one is correct.
Answer» If the points $P (1, 4), Q (2, 3) a n d R (- 1, 6)$ are collinear, then which one is correct.

Discussion

2995.	If the mean of five observations x,x+2, x + 4, x+6, x+8, is 11, then the mean of first three observations is
Answer» If the mean of five observations x,x+2, x + 4, x+6, x+8, is 11, then the mean of first three observations is

Discussion

2996.	If x3+6x2+4x+k is divisible by (x+2),then the value of k is:-8
Answer» $If x^{3} + 6 x^{2} + 4 x + k is divisible by (x + 2), then the value of k is:$ -8

Discussion

2997.	(i) Prove that: If a triangle and a parallelogram are on the same base and between the same parallels, then the area of the triangle is half of the parallelogram.(ii) If the area of the parallelogram is 202 sq. units, find the area of the triangle which is on the same base as that of the parallelogram between the same parallel lines .
Answer» (i) Prove that: If a triangle and a parallelogram are on the same base and between the same parallels, then the area of the triangle is half of the parallelogram. (ii) If the area of the parallelogram is 202 sq. units, find the area of the triangle which is on the same base as that of the parallelogram between the same parallel lines .

Discussion

2998.	If the larger circle of radius 14 cm has four smaller circles of radius 3.5 cm, then the area of the shaded portion is
Answer» If the larger circle of radius $14 c m$ has four smaller circles of radius $3.5 c m,$ then the area of the shaded portion is

Discussion

2999.	In a right angled triangle, the ratio of the shorter sides is 2:3. Find the ratio of the hypotenuse of the triangle to its perimeter. (Assume√13=3.5)
Answer» In a right angled triangle, the ratio of the shorter sides is 2:3. Find the ratio of the hypotenuse of the triangle to its perimeter. $(A s s u m e \sqrt{13} = 3.5)$

Discussion

3000.

From the following Receipts and Payments Account of Jaipur Sports Club, prepare Income and Expenditure Account for the year ended 31st March, 2019: RECEIPTS AND PAYMENTS ACCOUNT for the year ended March 31st March, 2019 Dr. Cr. Receipts ₹ Payments ₹ To Balance b/d 2,00,000 By Rent 60,000 To Entrance Fees: (including ₹15,000 for 2017 – 18) 2017 – 18 10,000 By Insurance Premium 60,000 2018 – 19 50,000 60,000 (including ₹15,000 for 2019 – 20) To Subscriptions: By Sports Equipments 50,000 2017 – 18 10,000 By Furniture 60,000 2018 – 19 (90%) 90,000 (Purchased on 31st March, 2019) 2019 – 20 5,000 1,05,000 By 8% Fixed Deposit 1,20,000 To Life Membership Fees 20,000 (Made on 1st October, 2018) To Donations 1,20,000 By Tournament Expenses 10,000 To Donation for Tournament 50,000 By Books 20,000 To Subscription for Governor's Party 15,000 By Newspapers 1,000 To Interest on 8% Fixed Deposit 2,400 By Printing and Stationery 19,000 To Sale of Old Newspapers 300 By Balance c/d 1,80,000 To Sale of Old Sports Materials 500 (Book Value ₹ 1,200) To Locker Rent 6,800 (including ₹ 600 for 2017 – 18) 5,80,000 5,80,000

Answer» From the following Receipts and Payments Account of Jaipur Sports Club, prepare Income and Expenditure Account for the year ended 31st March, 2019:

RECEIPTS AND PAYMENTS ACCOUNT for the year ended March 31st March, 2019
Dr.					Cr.
Receipts		₹	Payments	₹
To Balance b/d		2,00,000	By Rent	60,000
To Entrance Fees:			(including ₹15,000 for 2017 – 18)
2017 – 18	10,000		By Insurance Premium	60,000
2018 – 19	50,000	60,000	(including ₹15,000 for 2019 – 20)
To Subscriptions:			By Sports Equipments	50,000
2017 – 18	10,000		By Furniture	60,000
2018 – 19 (90%)	90,000		(Purchased on 31st March, 2019)
2019 – 20	5,000	1,05,000	By 8% Fixed Deposit	1,20,000
To Life Membership Fees		20,000	(Made on 1st October, 2018)
To Donations		1,20,000	By Tournament Expenses	10,000
To Donation for Tournament		50,000	By Books	20,000
To Subscription for Governor's Party		15,000	By Newspapers	1,000
To Interest on 8% Fixed Deposit		2,400	By Printing and Stationery	19,000
To Sale of Old Newspapers		300	By Balance c/d	1,80,000
To Sale of Old Sports Materials		500
(Book Value ₹ 1,200)
To Locker Rent		6,800
(including ₹ 600 for 2017 – 18)

		5,80,000		5,80,000

Discussion

Explore topic-wise InterviewSolutions in .

Draw a circle of radius 6 cm using ruler and compasses. Draw one of its diameters. Draw the perpendicular bisector of this diameter. Does this perpendicular bisector contain another diameter of the circle?

In a circle of radius 3 centimetres, what is the length of an arc of central angle 30°?

f(x) = x3 −6x2 − 19x + 84, g(x) = x − 7

If the ratio of volumes of two spheres is 1 : 8 then the ratio of their surface areas is

GIVEN TWO DISTINCT PERPENDICULAR LINES l AND m.IS THERE A POINT THAT LIES ON BOTH l AND m?IF YES,HOW MANY SUCH POINTS ARE THERE?

Solve the following linear equation.n2−3n4+5n6=21

The length, width and height of a rectangular solid are in the ratio of 3 : 2 : 1. If the volume of the box is 48cm3, the total surface area of the box is(a) 27 cm2(b) 32 cm2(c) 44 cm2(d) 88 cm2

1,2,3,4,5...... The above set of numbers is known as _______.

125 + 8x3 − 27y3 + 90xy

Find the value of y for which the distance between the point p(2,-3) and q(10,y) is 10 units

Sum of two numbers is 4 more than the twice of difference of the two numbers. If one of the two numbers is three more than the other number, then find the numbers.

62. Write a linear equation representing a line which is parallel to y-axis and is at a distance of 2 units.

If the area of an isosceles right-angled triangle is 72 cm2, then its perimeter is _________.

In the given construction of a ΔABC, ∠CAB will be

Let f : A → B and g : B → C be the bijective functions. Then, (gof)–1 =(a) f–1o g–1(b) fog(c) g–1of–1(d) gof

In the given figure, l || m and a transversal t cuts them. If ∠7 = 80°, find the measure of each of the remaining marked angles.

The algebraic sum of the vectors directed from the vertices to the mid-points of the opposite side is equal to ________________.

Two cylindrical jars have their diameters in the ratio 3 : 1, but height 1 : 3. Then the ratio of their volumes is(a) 1 : 4(b) 1 : 3(c) 3 : 1(d) 2 : 5

Two (big and small) garbage blocks are organized by stacking them on top of each other. Find the height of the big grabage block.

The function f(x)=2|x|+|x+2|−||x+2|−2|x|| has a local minimum or a local maximum at x=

Question 12Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.

When constructing a histogram with non-uniform (unequal) class widths, we must ensure that the areas of the rectangles are proportional to the ___________.

8. The number of rational points on the circumference of a circle having center (22/7, e) is

Write the contrapositive of the following statement. 'If ΔABC is right-angled at B, then AB2+BC2=AC2

When 5a2b+10b2c2−21ab+32 is subtracted from 50−20b2c2−4bc−ac−5ab we get

In ABC, ∠A = 50o, ∠B = 60o and ∠C = 70o. Find the measures of the angles of the triangle formed by hoining the mid points of the sides of this trangle.

If sec θ+tan θ=k then find the value of sec θ​ - tan θ in terms of k.

In the figure below, if ∠PQR = ∠PRQ, then, which of the following is/are true?

Question 13In Fig. 12.31, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of the shaded region. (Use π=3.14)

If f(x+y,x−y)=xy, then f(x,y)+f(y,x)2=

Let A = {x : x is an even natural number and 1< x ≤ 12} andB = { x : x is a multiple of 3, x ϵ N and x ≤ 12} be two sets. Find A ∩ B. Are both sets disjoint?

Sector is the portion of a circle inscribed by ____ and an arc.

The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Show that ar (ABCD)=ar(PBQR). [4 MARKS]

A cylindrical water tank of diameter 1.4 m and height 2.1 m is being fed by a pipe of diameter 3.5 cm throught which water flowes at the rate of 2 metre per second. In how much time the tank will be filled ?

In the given figure, P and Q are the mid-points of AC and AB, respectively. Also, PG = GR and HQ = HR. Calculte the ratio of area of ΔPQR to area of ΔABC.​​

In the given figure, if O is the centre of the circle, then find the measure of ∠OCD+∠ODC.

x2+5x−24 can be factorized as .

Given that 1 cubic cm of marble weighs 0.25 kg, the weight of marble block 28 cm in width and 5 cm thick is 112 kg. Find the length of the block.

Which one of the following is a correct statement?

Maximum value of solid angle of sphere

8. Find area ofor parallelogram whose diagonal are 2i+3j+3k and 5i+3j-2k

Factories the following polynomials.(a) 16x4–81(b) (a–b)2+4ab

If the points P(1,4),Q(2,3) and R(−1,6) are collinear, then which one is correct.

If the mean of five observations x,x+2, x + 4, x+6, x+8, is 11, then the mean of first three observations is

If x3+6x2+4x+k is divisible by (x+2),then the value of k is:-8

If the larger circle of radius 14 cm has four smaller circles of radius 3.5 cm, then the area of the shaded portion is

In a right angled triangle, the ratio of the shorter sides is 2:3. Find the ratio of the hypotenuse of the triangle to its perimeter. (Assume√13=3.5)

If sec θ+tan θ=k then find the value of sec θ - tan θ in terms of k.

In the given figure, P and Q are the mid-points of AC and AB, respectively. Also, PG = GR and HQ = HR. Calculte the ratio of area of ΔPQR to area of ΔABC.