32581 + Interview Questions in Mathematics Page 70 InterviewSolution

3451.	For a given data with 70 observations the 'less then ogive' and the 'more than ogive' intersect at (20.5, 35). The median of the data is(a) 20(b) 35(c) 70(d) 20.5
Answer» For a given data with 70 observations the 'less then ogive' and the 'more than ogive' intersect at (20.5, 35). The median of the data is (a) 20 (b) 35 (c) 70 (d) 20.5

Discussion

3452.	The sides of a rectangle are 2x + 3y and 3x + 2y. From this a square of side length x + y is removed. What is the area of the remaining region?
Answer» The sides of a rectangle are 2x + 3y and 3x + 2y. From this a square of side length x + y is removed. What is the area of the remaining region?

Discussion

3453.	ABC is an equilateral triangle of side 2a. Find each of its altitudes.
Answer» ABC is an equilateral triangle of side 2a. Find each of its altitudes.

Discussion

3454.	40. if x is real, then the maximum value of 5 + 4x -4x will be equal to
Answer» 40. if x is real, then the maximum value of 5 + 4x -4x will be equal to

Discussion

3455.	Find the least number which when divided by 35, 56 and 91 leaves the same remainder 7 in each case.
Answer» Find the least number which when divided by 35, 56 and 91 leaves the same remainder 7 in each case.

Discussion

3456.	A die is thrown once. The probability of getting an even number is [CBSE 2013](a) 12(b) 13(c) 16(d) 56
Answer» A die is thrown once. The probability of getting an even number is [CBSE 2013] (a) $\frac{1}{2}$ (b) $\frac{1}{3}$ (c) $\frac{1}{6}$ (d) $\frac{5}{6}$

Discussion

3457.	Find the middle term of an A.P. 6,13,20,.....,216.
Answer» Find the middle term of an A.P. 6,13,20,.....,216.

Discussion

3458.	What are the chances that the first roll on a die was a four if it was rolled three times and the sum of the numbers appearing on the upper face is 15?
Answer» What are the chances that the first roll on a die was a four if it was rolled three times and the sum of the numbers appearing on the upper face is 15?

Discussion

3459.	In ☐ ABCD, l(AB) = 13 cm, l(DC) = 9 cm, l(AD) = 8 cm, find the area of ☐ ABCD.
Answer» In ☐ ABCD, l(AB) = 13 cm, l(DC) = 9 cm, l(AD) = 8 cm, find the area of ☐ ABCD.

Discussion

3460.	In a circle of radius 21 cm, an arc subtends an angle of 60∘ at the centre. Find : (i) the length of the arc (ii) area of the sector formed by the arc.
Answer» In a circle of radius $21 c m$ , an arc subtends an angle of $60^{\circ}$ at the centre. Find : (i) the length of the arc (ii) area of the sector formed by the arc.

3460.

In a circle of radius 21 cm, an arc subtends an angle of 60∘ at the centre. Find : (i) the length of the arc (ii) area of the sector formed by the arc.

Answer»

In a circle of radius $21 c m$ , an arc subtends an angle of $60^{\circ}$ at the centre.

Find :

(i) the length of the arc

(ii) area of the sector formed by the arc.

Discussion

3461.	Show that the cube of any positive integer is of the form 6m + r such that 0< r < 6 is also of the form 6q + r where m and q are some integer
Answer» Show that the cube of any positive integer is of the form 6m + r such that 0< r < 6 is also of the form 6q + r where m and q are some integer

Discussion

3462.	If point P lies on the line y = -1, then its x and y coordinates are
Answer» If point P lies on the line y = -1, then its x and y coordinates are

Discussion

3463.	Question 38(iii)In a game, the entry fee is of Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that shejust gets her entry fee.
Answer» Question 38(iii) In a game, the entry fee is of Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that she just gets her entry fee.

Discussion

3464.	The number of non negative integral solution of x+y+z≤ n where n∈
Answer» The number of non negative integral solution of x+y+z≤ n where n∈

Discussion

3465.	If \times p(x)=x3−3x2+2x, find p(0), p(1), p(2). What do you conclude?
Answer» If \times $p (x) = x^{3} - 3 x^{2} + 2 x$ , find p(0), p(1), p(2). What do you conclude?

Discussion

3466.	∫ex4+e2xdx is equal to(where C is constant of integration)
Answer» $\int \frac{e^{x}}{4 + e^{2 x}} d x$ is equal to (where $C$ is constant of integration)

Discussion

3467.

In a hospital, the ages of diabetic patients were recorded as follows. Find the median age. [CBSE 2014] Age (in years) 0−15 15−30 30−45 45−60 60−75 Number of patients 5 20 40 50 25

Answer» In a hospital, the ages of diabetic patients were recorded as follows. Find the median age. [CBSE 2014]

Age (in years)	0−15	15−30	30−45	45−60	60−75
Number of patients	5	20	40	50	25

Discussion

3468.	How to find rank of a matrix by minor method ?
Answer» How to find rank of a matrix by minor method ?

Discussion

3469.	A(-4, 2), B(0, 2) and C(-2, -4) are vertices of a triangle ABC. P, Q and R are mid-points of sides BC, CA and AB respectively. Show that the centroid of ΔPQR is the same as the centroid of ΔABC.
Answer» A(-4, 2), B(0, 2) and C(-2, -4) are vertices of a triangle ABC. P, Q and R are mid-points of sides BC, CA and AB respectively. Show that the centroid of $Δ$ PQR is the same as the centroid of $Δ$ ABC.

Discussion

3470.	Find the sum of the following arithmetic progressions:(i) 50, 46, 42, ... to 10 terms(ii) 1, 3, 5, 7, ... to 12 terms(iii) 3, 9/2, 6, 15/2, ... to 25 terms(iv) 41, 36, 31, ... to 12 terms(v) a + b, a − b, a − 3b, ... to 22 terms(vi) (x − y)2, (x2 + y2), (x + y)2, ..., to n terms(vii) x-yx+y3x-2yx+y5x-3yx+y, ... to n terms(viii) −26, −24, −22, ... to 36 terms.
Answer» Find the sum of the following arithmetic progressions: (i) 50, 46, 42, ... to 10 terms (ii) 1, 3, 5, 7, ... to 12 terms (iii) 3, 9/2, 6, 15/2, ... to 25 terms (iv) 41, 36, 31, ... to 12 terms (v) a + b, a − b, a − 3b, ... to 22 terms (vi) (x − y)², (x² + y²), (x + y)², ..., to n terms (vii) $\frac{x - y}{x + y} \frac{3 x - 2 y}{x + y} \frac{5 x - 3 y}{x + y}, . . .$ to n terms (viii) −26, −24, −22, ... to 36 terms.

Discussion

3471.	Find the value of p, if x, 2x + p and 3x + 6 are in A. P.
Answer» Find the value of p, if x, 2x + p and 3x + 6 are in A. P.

Discussion

3472.	The sides of a right triangle are 2x+1 2x x-1cm .find x
Answer» The sides of a right triangle are 2x+1 2x x-1cm .find x

Discussion

3473.	An integer is chosen at random between 0 and 100. What is the probability that it's divisible by 7 not divisible by 9. What is the possible outcomes???
Answer» An integer is chosen at random between 0 and 100. What is the probability that it's divisible by 7 not divisible by 9. What is the possible outcomes???

Discussion

3474.	Find the value of x in each of the following :cos 2x = cos 60° cos 30° + sin 60° sin 30°
Answer» Find the value of x in each of the following : cos 2x = cos 60° cos 30° + sin 60° sin 30°

Discussion

3475.	Perimter of triangle ABC is 20 cm and AC = BC= 7 cm. CP = ____
Answer» Perimter of triangle ABC is 20 cm and AC = BC= 7 cm. CP = ____

3475.

Perimter of triangle ABC is 20 cm and AC = BC= 7 cm. CP = ____

Answer»

Perimter of triangle ABC is 20 cm and AC = BC= 7 cm. CP = ____

Discussion

3476.	(i) An AP 5, 12, 19, ... has 50 terms. Find its last term. Hence, find the sum of its last 15 terms. [CBSE 2015](ii) An AP 8, 10, 12, ... has 60 terms. Find its last term. Hence, find the sum of its last 10 terms. [CBSE 2015]
Answer» (i) An AP 5, 12, 19, ... has 50 terms. Find its last term. Hence, find the sum of its last 15 terms. [CBSE 2015] (ii) An AP 8, 10, 12, ... has 60 terms. Find its last term. Hence, find the sum of its last 10 terms. [CBSE 2015]

Discussion

3477.	A point P(2, -4) is reflected in the line x = 0 to get image Q. Point Q is reflected in the line y = 0 to get the image R. Find the area of figure PQR.
Answer» A point P(2, -4) is reflected in the line x = 0 to get image Q. Point Q is reflected in the line y = 0 to get the image R. Find the area of figure PQR.

Discussion

3478.	The Marks range of the Students in a class is from 0 to 80 out of a total of 80 marks. The Students have been categorized into groups of 10. The following frequency of the number of students in the Marks ranges (in ascending order) have been given: 2, 3, 6, 12, 8, 5, 7, 4 Which of the following Frequency distribution table corresponds to the Data given?
Answer» The Marks range of the Students in a class is from 0 to 80 out of a total of 80 marks. The Students have been categorized into groups of 10. The following frequency of the number of students in the Marks ranges (in ascending order) have been given: 2, 3, 6, 12, 8, 5, 7, 4 Which of the following Frequency distribution table corresponds to the Data given?

3478.

The Marks range of the Students in a class is from 0 to 80 out of a total of 80 marks. The Students have been categorized into groups of 10. The following frequency of the number of students in the Marks ranges (in ascending order) have been given: 2, 3, 6, 12, 8, 5, 7, 4 Which of the following Frequency distribution table corresponds to the Data given?

Answer»

The Marks range of the Students in a class is from 0 to 80 out of a total of 80 marks. The Students have been categorized into groups of 10. The following frequency of the number of students in the Marks ranges (in ascending order) have been given:
2, 3, 6, 12, 8, 5, 7, 4

Which of the following Frequency distribution table corresponds to the Data given?

Discussion

3479.	If the sum of the first 2n terms of the AP 2, 5, 8, ... is equal to the sum of the first n terms of A.P. 57, 59, 61, ... then what is the value of n? [2 MARKS]
Answer» If the sum of the first 2n terms of the AP 2, 5, 8, ... is equal to the sum of the first n terms of A.P. 57, 59, 61, ... then what is the value of n? [2 MARKS]

Discussion

3480.	If sec 4A = cosec (A – 10°) and 4A is acute then A = ?(a) 20°(b) 25°(c) 30°(d) 40°
Answer» If sec 4A = cosec (A – 10°) and 4A is acute then A = ? (a) 20° (b) 25° (c) 30° (d) 40°

Discussion

3481.	An umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45 cm, find the area in cm2 of each rib of the umbrella. [2 MARKS]
Answer» An umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45 cm, find the area in $c m^{2}$ of each rib of the umbrella. [2 MARKS]

3481.

An umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45 cm, find the area in cm2 of each rib of the umbrella. [2 MARKS]

Answer»

An umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45 cm, find the area in $c m^{2}$ of each rib of the umbrella. [2 MARKS]

Discussion

3482.	If p and q are zeroes of polynomial f(x)=2x²-7x+3 find the value of p²+q²
Answer» If p and q are zeroes of polynomial f(x)=2x²-7x+3 find the value of p²+q²

Discussion

3483.	In given =Fig., D is a point on side BC of ΔAB auch that BDCD=ABAC. prove that AD is the bisector of ∠BAC.
Answer» In given =Fig., $D$ is a point on side $B C$ of $Δ A B$ auch that $\frac{B D}{C D} = \frac{A B}{A C} .$ prove that $A D$ is the bisector of $∠ B A C .$

Discussion

3484.	From the following, find the correct relation
Answer» From the following, find the correct relation

Discussion

3485.	The median of a given frequency distribution is found graphically with the help of(a) Histogram(b) Frequency curve(c) Frequency polygon(d) Ogive
Answer» The median of a given frequency distribution is found graphically with the help of (a) Histogram (b) Frequency curve (c) Frequency polygon (d) Ogive

Discussion

3486.	how to find value of a in this equation 3x=y+7a
Answer» how to find value of a in this equation 3x=y+7a

Discussion

3487.

Five coins were simultaneously tossed 1000 times and at each toss the number of heads were observed. The number of tosses during which 0, 1, 2, 3, 4 and 5 heads were obtained are shown in the table below. Find the mean number of heads per toss. No. of heads per toss No. of tosses 0 1 2 3 4 5 38 144 342 287 164 25 Total 1000

Answer» Five coins were simultaneously tossed 1000 times and at each toss the number of heads were observed. The number of tosses during which 0, 1, 2, 3, 4 and 5 heads were obtained are shown in the table below. Find the mean number of heads per toss.

No. of heads per toss	No. of tosses
0 1 2 3 4 5	38 144 342 287 164 25
Total	1000

Discussion

3488.	If the points A(2,−9,λ) and B(λ,−1,−3) lie on the opposite sides of a plane which contain the lines x+1−3=y−32=z+21 and x1=y−7−3=z+72, then the largest integral value of λ is
Answer» If the points $A (2, - 9, λ)$ and $B (λ, - 1, - 3)$ lie on the opposite sides of a plane which contain the lines $\frac{x + 1}{- 3} = \frac{y - 3}{2} = \frac{z + 2}{1}$ and $\frac{x}{1} = \frac{y - 7}{- 3} = \frac{z + 7}{2},$ then the largest integral value of $λ$ is

Discussion

3489.	What is the position of the word ‘wake’ from the left in Step VIII of the given input?
Answer» What is the position of the word ‘wake’ from the left in Step VIII of the given input?

Discussion

3490.

The weekly wages of 120 workers in a factory are shown in the following frequency distribution table. Find the mean of the weekly wages. Weekly wages (Rupees) 0 - 2000 2000 - 4000 4000 - 6000 6000 - 8000 No. of workers 15 35 50 20

Answer» The weekly wages of 120 workers in a factory are shown in the following frequency distribution table. Find the mean of the weekly wages.

Weekly wages (Rupees)	0 - 2000	2000 - 4000	4000 - 6000	6000 - 8000
No. of workers	15	35	50	20

Discussion

3491.	Find the value of the side AC of the △ABC in terms of AB, whose length is √3 units.
Answer» Find the value of the side AC of the $△$ ABC in terms of AB, whose length is $\sqrt{3}$ units.

Discussion

3492.	Find the equation of the line whose y-intercept is -3 and slope is 4.
Answer» Find the equation of the line whose y-intercept is -3 and slope is 4.

Discussion

3493.	Question 3The height of a cone is 15 cm. If its volume is 1570 cm3, find the radius of its base.[Use π=3.14]
Answer» Question 3 The height of a cone is 15 cm. If its volume is $1570 c m^{3}$ , find the radius of its base. $[U s e π = 3.14]$

Discussion

3494.

The following purchases were made by Karam, Kolkata, during the month of April, 2019. Prepare Purchases Book and post into Ledger Accounts: 2019 April 8 Purchased on credit from Subodh Brothers, Delhi: 5 chests of tea ₹ 7,000 per chest at a Trade Discount of 10% plus IGST 12% and packing and other charges ₹ 500. April 12 Purchased in cash 20 boxes of tea ₹ 500 per box at a Trade Discount of 10% plus CGST and SGST 6% each. April 18 Purchased from Raj Furnishing House: 3 show cases ₹ 7,500 per case at a Trade Discount of 10% plus CGST and SGST 6% each. April 20 Purchased from Siliguri Tea Agency, Siliguri, West Bengal: 15 boxes of tea ₹ 600 per box at a Trade Discount of 10% plus CGST and SGST 6% each and packing and other charges ₹ 50. April 25 Purchased from Darjeeling Tea House, Darjeeling, West Bengal: 5 kgs of Special Green Tea ₹ 500 per kg at a Trade Discount of 10% plus CGST and SGST 6% each for household consumption of proprietor.

Answer» The following purchases were made by Karam, Kolkata, during the month of April, 2019. Prepare Purchases Book and post into Ledger Accounts:

2019
April 8	Purchased on credit from Subodh Brothers, Delhi: 5 chests of tea ₹ 7,000 per chest at a Trade Discount of 10% plus IGST 12% and packing and other charges ₹ 500.
April 12	Purchased in cash 20 boxes of tea ₹ 500 per box at a Trade Discount of 10% plus CGST and SGST 6% each.
April 18	Purchased from Raj Furnishing House: 3 show cases ₹ 7,500 per case at a Trade Discount of 10% plus CGST and SGST 6% each.
April 20	Purchased from Siliguri Tea Agency, Siliguri, West Bengal: 15 boxes of tea ₹ 600 per box at a Trade Discount of 10% plus CGST and SGST 6% each and packing and other charges ₹ 50.
April 25	Purchased from Darjeeling Tea House, Darjeeling, West Bengal: 5 kgs of Special Green Tea ₹ 500 per kg at a Trade Discount of 10% plus CGST and SGST 6% each for household consumption of proprietor.

Discussion

3495.	If Alex drives a car at a speed of 52 km per hour for 8 hours then how far does he travel?
Answer» If Alex drives a car at a speed of 52 km per hour for 8 hours then how far does he travel?

Discussion

3496.	Let P=0 be the equation of a plane passing through the line of intersection of the planes 2x−y=0 and 3z−y=0 and perpendicular to the plane 4x+5y−3z=8. Then the points which lie on the plane P=0 is/are:
Answer» Let $P = 0$ be the equation of a plane passing through the line of intersection of the planes $2 x - y = 0$ and $3 z - y = 0$ and perpendicular to the plane $4 x + 5 y - 3 z = 8$ . Then the points which lie on the plane $P = 0$ is/are:

Discussion

3497.	In the given figure, line PS is a transversal of parallel line AB and line CD. If Ray QX, ray QY, ray RX, ray RY are angle bisectors, then prove that 123 QXRY is a rectangle.
Answer» In the given figure, line PS is a transversal of parallel line AB and line CD. If Ray QX, ray QY, ray RX, ray RY are angle bisectors, then prove that $123$ QXRY is a rectangle.

Discussion

3498.	Determine the number of positive real roots and complex roots for equation 3 x7 + 2 x5 + 4 x3 + 11x - 12 = 0.
Answer» Determine the number of positive real roots and complex roots for equation 3 $x^{7}$ + 2 $x^{5}$ + 4 $x^{3}$ + 11x - 12 = 0.

Discussion

3499.	cosecA−1cosecA+1=(cosA1+sinA)2
Answer» $\frac{c o s e c A - 1}{c o s e c A + 1} = {(\frac{c o s A}{1 + s i n A})}^{2}$

Discussion

3500.	A circle having radius 4 cm contains a chord of length 4 cm and subtends an angle of 60 degrees. Find the area of the minor segment of the chord.
Answer» A circle having radius 4 cm contains a chord of length 4 cm and subtends an angle of 60 degrees. Find the area of the minor segment of the chord.

Discussion

Explore topic-wise InterviewSolutions in .

For a given data with 70 observations the 'less then ogive' and the 'more than ogive' intersect at (20.5, 35). The median of the data is(a) 20(b) 35(c) 70(d) 20.5

The sides of a rectangle are 2x + 3y and 3x + 2y. From this a square of side length x + y is removed. What is the area of the remaining region?

ABC is an equilateral triangle of side 2a. Find each of its altitudes.

40. if x is real, then the maximum value of 5 + 4x -4x will be equal to

Find the least number which when divided by 35, 56 and 91 leaves the same remainder 7 in each case.

A die is thrown once. The probability of getting an even number is [CBSE 2013](a) 12(b) 13(c) 16(d) 56

Find the middle term of an A.P. 6,13,20,.....,216.

What are the chances that the first roll on a die was a four if it was rolled three times and the sum of the numbers appearing on the upper face is 15?

In ☐ ABCD, l(AB) = 13 cm, l(DC) = 9 cm, l(AD) = 8 cm, find the area of ☐ ABCD.

In a circle of radius 21 cm, an arc subtends an angle of 60∘ at the centre. Find : (i) the length of the arc (ii) area of the sector formed by the arc.

Show that the cube of any positive integer is of the form 6m + r such that 0< r < 6 is also of the form 6q + r where m and q are some integer

If point P lies on the line y = -1, then its x and y coordinates are

The number of non negative integral solution of x+y+z≤ n where n∈

If \times p(x)=x3−3x2+2x, find p(0), p(1), p(2). What do you conclude?

∫ex4+e2xdx is equal to(where C is constant of integration)

In a hospital, the ages of diabetic patients were recorded as follows. Find the median age. [CBSE 2014] Age (in years) 0−15 15−30 30−45 45−60 60−75 Number of patients 5 20 40 50 25

How to find rank of a matrix by minor method ?

A(-4, 2), B(0, 2) and C(-2, -4) are vertices of a triangle ABC. P, Q and R are mid-points of sides BC, CA and AB respectively. Show that the centroid of ΔPQR is the same as the centroid of ΔABC.

Find the value of p, if x, 2x + p and 3x + 6 are in A. P.

The sides of a right triangle are 2x+1 2x x-1cm .find x

An integer is chosen at random between 0 and 100. What is the probability that it's divisible by 7 not divisible by 9. What is the possible outcomes???

Find the value of x in each of the following :cos 2x = cos 60° cos 30° + sin 60° sin 30°

Perimter of triangle ABC is 20 cm and AC = BC= 7 cm. CP = ____

(i) An AP 5, 12, 19, ... has 50 terms. Find its last term. Hence, find the sum of its last 15 terms. [CBSE 2015](ii) An AP 8, 10, 12, ... has 60 terms. Find its last term. Hence, find the sum of its last 10 terms. [CBSE 2015]

A point P(2, -4) is reflected in the line x = 0 to get image Q. Point Q is reflected in the line y = 0 to get the image R. Find the area of figure PQR.

If the sum of the first 2n terms of the AP 2, 5, 8, ... is equal to the sum of the first n terms of A.P. 57, 59, 61, ... then what is the value of n? [2 MARKS]

If sec 4A = cosec (A – 10°) and 4A is acute then A = ?(a) 20°(b) 25°(c) 30°(d) 40°

An umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45 cm, find the area in cm2 of each rib of the umbrella. [2 MARKS]

If p and q are zeroes of polynomial f(x)=2x²-7x+3 find the value of p²+q²

In given =Fig., D is a point on side BC of ΔAB auch that BDCD=ABAC. prove that AD is the bisector of ∠BAC.

From the following, find the correct relation

The median of a given frequency distribution is found graphically with the help of(a) Histogram(b) Frequency curve(c) Frequency polygon(d) Ogive

how to find value of a in this equation 3x=y+7a

If the points A(2,−9,λ) and B(λ,−1,−3) lie on the opposite sides of a plane which contain the lines x+1−3=y−32=z+21 and x1=y−7−3=z+72, then the largest integral value of λ is

What is the position of the word ‘wake’ from the left in Step VIII of the given input?

The weekly wages of 120 workers in a factory are shown in the following frequency distribution table. Find the mean of the weekly wages. Weekly wages (Rupees) 0 - 2000 2000 - 4000 4000 - 6000 6000 - 8000 No. of workers 15 35 50 20

Find the value of the side AC of the △ABC in terms of AB, whose length is √3 units.

Find the equation of the line whose y-intercept is -3 and slope is 4.

Question 3The height of a cone is 15 cm. If its volume is 1570 cm3, find the radius of its base.[Use π=3.14]

If Alex drives a car at a speed of 52 km per hour for 8 hours then how far does he travel?

Let P=0 be the equation of a plane passing through the line of intersection of the planes 2x−y=0 and 3z−y=0 and perpendicular to the plane 4x+5y−3z=8. Then the points which lie on the plane P=0 is/are:

In the given figure, line PS is a transversal of parallel line AB and line CD. If Ray QX, ray QY, ray RX, ray RY are angle bisectors, then prove that 123 QXRY is a rectangle.

Determine the number of positive real roots and complex roots for equation 3 x7 + 2 x5 + 4 x3 + 11x - 12 = 0.

cosecA−1cosecA+1=(cosA1+sinA)2

A circle having radius 4 cm contains a chord of length 4 cm and subtends an angle of 60 degrees. Find the area of the minor segment of the chord.