32581 + Interview Questions in Mathematics Page 169 InterviewSolution

8401.	Find all the zeros of 2x4 – 3x3 – 3x2 + 6x – 2 if it is given that two of its zeros are 1 and 12.
Answer» Find all the zeros of 2x⁴– 3x³– 3x²+ 6x – 2 if it is given that two of its zeros are 1 and $\frac{1}{2}$ .

Discussion

8402.	Verify the cyclic symmetry of the following expressions if a, b and c are the variables:(1) a(b − c) + b(c − a) + c(a − b)(2) ab(a + b) + bc(b + c) + ca(c + a)(3) a2b(a − b) + b2c(b − c) + c2a(c − a)(4) a2(a + b) + b2(b + c) + c2(c + a)(5) ab2(a − b) + bc2(b − c) + ca2(c − a)
Answer» Verify the cyclic symmetry of the following expressions if a, b and c are the variables: (1) a(b − c) + b(c − a) + c(a − b) (2) ab(a + b) + bc(b + c) + ca(c + a) (3) a²b(a − b) + b²c(b − c) + c²a(c − a) (4) a²(a + b) + b²(b + c) + c²(c + a) (5) ab²(a − b) + bc²(b − c) + ca²(c − a)

8402.

Verify the cyclic symmetry of the following expressions if a, b and c are the variables:(1) a(b − c) + b(c − a) + c(a − b)(2) ab(a + b) + bc(b + c) + ca(c + a)(3) a2b(a − b) + b2c(b − c) + c2a(c − a)(4) a2(a + b) + b2(b + c) + c2(c + a)(5) ab2(a − b) + bc2(b − c) + ca2(c − a)

Answer»

Verify the cyclic symmetry of the following expressions if a, b and c are the variables:

(1) a(b − c) + b(c − a) + c(a − b)

(2) ab(a + b) + bc(b + c) + ca(c + a)

(3) a²b(a − b) + b²c(b − c) + c²a(c − a)

(4) a²(a + b) + b²(b + c) + c²(c + a)

(5) ab²(a − b) + bc²(b − c) + ca²(c − a)

Discussion

8403.	solve the equations by elimination method: 5x + (4/y) = 7, 4x + (3/y) = 5
Answer» solve the equations by elimination method: 5x + (4/y) = 7, 4x + (3/y) = 5

Discussion

8404.	1500 families with 2 children were selected randomly, and the following data were recorded: Number of boys in a family012Number of families475814211 Compute the probability of a family chosen at random having: i) no boy ii) 1 boy iii) 2 boys [4 MARKS]
Answer» 1500 families with 2 children were selected randomly, and the following data were recorded: $\begin{matrix} N u m b e r o f b o y s i n a f a m i l y & 0 & 1 & 2 N u m b e r o f f a m i l i e s & 475 & 814 & 211 \end{matrix}$ Compute the probability of a family chosen at random having: i) no boy ii) 1 boy iii) 2 boys [4 MARKS]

Discussion

8405.	In the above figure, O is the centre of the circle, FD is a tangent at C.Then, which of the following statement is NOT true?
Answer» In the above figure, O is the centre of the circle, FD is a tangent at C.Then, which of the following statement is NOT true?

Discussion

8406.	A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is. Find the number of blue balls in the jar.
Answer» A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is. Find the number of blue balls in the jar.

Discussion

8407.	If alfa and beta are the zeros of a qualatic polynomial xsquare - 5x - 3 then find the qualatic polynomial whose zeros are alfa apon beta and beta apon alfa
Answer» If alfa and beta are the zeros of a qualatic polynomial xsquare - 5x - 3 then find the qualatic polynomial whose zeros are alfa apon beta and beta apon alfa

Discussion

8408.	If the area of the base of a right circular cone is 3850 cm2 and its height is 84 cm, then find the slant height of the cone.
Answer» If the area of the base of a right circular cone is 3850 cm² and its height is 84 cm, then find the slant height of the cone.

Discussion

8409.	33. M.F of A in vapours phase above the ideal solution of A and B (×A=0.4)will be p^° A=100,p^° B=200mm. A) 0.4 B)0.8 C) 0.25 D) none of these
Answer» 33. M.F of A in vapours phase above the ideal solution of A and B (×A=0.4)will be p^° A=100,p^° B=200mm. A) 0.4 B)0.8 C) 0.25 D) none of these

Discussion

8410.	Fill in the blanks.(i) Probability of an impossible event = ........ .(ii) Probability of a sure event = ........ .(iii) Let E be an event. Then, P(not E) = ......... .(iv) P(E) + P(not E) = ........ .(v) ....... ≤ P(E) ≤ ....... .
Answer» Fill in the blanks. (i) Probability of an impossible event = ........ . (ii) Probability of a sure event = ........ . (iii) Let E be an event. Then, P(not E) = ......... . (iv) P(E) + P(not E) = ........ . (v) ....... ≤ P(E) ≤ ....... .

Discussion

8411.

Candidate of four schools appear in a mathematics test. The data were as follows: Schools No. of Candidates Average Score I II III IV 60 48 Not available 40 75 80 55 50 If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.

Answer» Candidate of four schools appear in a mathematics test. The data were as follows:

Schools	No. of Candidates	Average Score
I II III IV	60 48 Not available 40	75 80 55 50

If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.

Discussion

8412.	The part of the lab that needs to be renovated is 5/6 sq. m. Which of the following number lines show the area of the lab to be renovated?
Answer» The part of the lab that needs to be renovated is 5/6 sq. m. Which of the following number lines show the area of the lab to be renovated?

Discussion

8413.	How many spherical lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead piece with dimension 6cm × 42 cm × 21 cm .
Answer» How many spherical lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead piece with dimension 6cm $\times$ 42 cm $\times$ 21 cm .

Discussion

8414.	Find the equation of the straight line that has y - intercept 5 and is parallel to the straight line x - 3y = 3
Answer» Find the equation of the straight line that has y - intercept 5 and is parallel to the straight line x - 3y = 3

Discussion

8415.	In an A.P. a1, a2, a3, ..., an, ...., if a1 = 1, an = 20 and Sn = 399, then the value of n is __________.
Answer» In an A.P. a₁, a₂, a₃, ..., a_n, ...., if a₁ = 1, a_n= 20 and S_n= 399, then the value of n is __________.

Discussion

8416.	In the given figure, if D is the mid-point of the hypotenuse AC of right \bigtriangleup ABC,if AB is 4 cm and BC is 3 cm, then BD is equalto
Answer» In the given figure, if D is the mid-point of the hypotenuse AC of right \bigtriangleup ABC,if AB is 4 cm and BC is 3 cm, then BD is equalto

Discussion

8417.	Solve the following systems of equations:12x+13y=213x+12y=136
Answer» Solve the following systems of equations: $\frac{1}{2 x} + \frac{1}{3 y} = 2 \frac{1}{3 x} + \frac{1}{2 y} = \frac{13}{6}$

Discussion

8418.	The value of k for which the pair of linear equation 4x + 6y − 1 = 0 and 2x + ky − 7 = 0 represent parallel lines is(a) k = 3(b) k = 2(c) k = 4(d) k = −2
Answer» The value of k for which the pair of linear equation 4x + 6y − 1 = 0 and 2x + ky − 7 = 0 represent parallel lines is (a) k = 3 (b) k = 2 (c) k = 4 (d) k = −2

Discussion

8419.	Given a circle with O as the centre. Find the value of x.
Answer» Given a circle with O as the centre. Find the value of x.

8419.

Given a circle with O as the centre. Find the value of x.

Answer»

Given a circle with O as the centre. Find the value of x.

Discussion

8420.	If the roots of equation x2+4x+c=0 are real then
Answer» If the roots of equation $x^{2} + 4 x + c = 0$ are real then

Discussion

8421.	X ml of H2 gas effuses through hole in 5 sec time taken for effusion of same volume of gas specified under identical condition is 1.20 sec O2 2.55sec co2
Answer» X ml of H2 gas effuses through hole in 5 sec time taken for effusion of same volume of gas specified under identical condition is 1.20 sec O2 2.55sec co2

Discussion

8422.	Tap on the region in which the probability of finding a crashed plane is 19.
Answer» Tap on the region in which the probability of finding a crashed plane is $\frac{1}{9} .$

Discussion

8423.	The distance between the points (acos55∘, 0) and (0, acos35∘) is -
Answer» The distance between the points ( $a cos 55^{\circ}$ , 0) and (0, $a cos 35^{\circ}$ ) is -

Discussion

8424.	Find the indicated term in sequence, whose nth term is: an=(−1)n−1n3; a9
Answer» Find the indicated term in sequence, whose $n^{t h}$ term is: $a_{n} = (- 1)^{n - 1} n^{3}; a_{9}$

Discussion

8425.

The production yield per hectare of wheat of some farms of a village are given in the following table: Production yield (in kg/ha) 40−45 45−50 50−55 55−60 60−65 65−70 70−75 75−80 80−85 Number of farms 1 9 15 18 40 26 16 14 10 Draw a less than type ogive and a more than type ogive for this data.

Answer»

The production yield per hectare of wheat of some farms of a village are given in the following table:

Production yield (in kg/ha)	40−45	45−50	50−55	55−60	60−65	65−70	70−75	75−80	80−85
Number of farms	1	9	15	18	40	26	16	14	10

Draw a less than type ogive and a more than type ogive for this data.

Discussion

8426.	Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.
Answer» Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.

Discussion

8427.	If tan2A=2tan2B+1; then which of the following can be the possible values of cos2A+sin2B ?
Answer» $I f t a n^{2} A = 2 t a n^{2} B + 1; t h e n w h i c h o f t h e f o l l o w i n g c a n b e t h e p o s s i b l e v a l u e s o f c o s^{2} A + s i n^{2} B ?$

Discussion

8428.	Question 12 On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk, so that each can cover the same distance in complete steps?
Answer» Question 12 On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk, so that each can cover the same distance in complete steps?

Discussion

8429.	In mathematics exam the probability of Aayushi to score 100 out of 100 is 1/101 How is that possible?
Answer» In mathematics exam the probability of Aayushi to score 100 out of 100 is 1/101 How is that possible?

8429.

In mathematics exam the probability of Aayushi to score 100 out of 100 is 1/101 How is that possible?

Answer»

In mathematics exam the probability of Aayushi to score 100 out of 100 is 1/101

How is that possible?

Discussion

8430.	find a quadratic polynomial each with the given numbers as the sum and product of its zero respectively 1/4 ,-1
Answer» find a quadratic polynomial each with the given numbers as the sum and product of its zero respectively 1/4 ,-1

Discussion

8431.	Mr. Gulati has a Recurring Deposit Account of Rs 300 per month. If the rate of intererst is 12% and the maturity value of this account is Rs 8,100; find the time (in years ) of this Recurring Deposit Account.
Answer» Mr. Gulati has a Recurring Deposit Account of Rs 300 per month. If the rate of intererst is 12% and the maturity value of this account is Rs 8,100; find the time (in years ) of this Recurring Deposit Account.

Discussion

8432.	1. Find angle CAB ,in the figure, if AOB is a diameter , C is any point on the circle and angle B =40 degrees
Answer» 1. Find angle CAB ,in the figure, if AOB is a diameter , C is any point on the circle and angle B =40 degrees

Discussion

8433.	The angle of elevation of the top of a tower is 27 degrees from a point A due east of it. The angle of elevation of the top of the tower is 11 degrees from another point B due south of the tower. Find the height of the tower if the distance AB is 40 m. It will be helpful to have a diagram with an explanation
Answer» The angle of elevation of the top of a tower is 27 degrees from a point A due east of it. The angle of elevation of the top of the tower is 11 degrees from another point B due south of the tower. Find the height of the tower if the distance AB is 40 m. It will be helpful to have a diagram with an explanation

8433.

The angle of elevation of the top of a tower is 27 degrees from a point A due east of it. The angle of elevation of the top of the tower is 11 degrees from another point B due south of the tower. Find the height of the tower if the distance AB is 40 m. It will be helpful to have a diagram with an explanation

Answer»

The angle of elevation of the top of a tower is 27 degrees from a point A due east of it. The angle of elevation of the top of the tower is 11 degrees from another point B due south of the tower. Find the height of the tower if the distance AB is 40 m.

It will be helpful to have a diagram with an explanation

Discussion

8434.	An aeroplane is flying at a height of 300 m above the ground. Flying at this height the angles of depression from the aeroplane of two points on both banks of a river in opposite directions are 45° ad 60° respectively. Find the width of the river. [Use 3=1.732] [CBSE 2017]
Answer» An aeroplane is flying at a height of 300 m above the ground. Flying at this height the angles of depression from the aeroplane of two points on both banks of a river in opposite directions are 45° ad 60° respectively. Find the width of the river. $[Use \sqrt{3} = 1.732]$ [CBSE 2017]

Discussion

8435.	What must be added to the polynomial f(x) = x4 + 2x3 − 2x2 + x − 1 so that the resulting polynomial is exactly divisible by x2 + 2x − 3?
Answer» What must be added to the polynomial f(x) = x⁴ + 2x³ − 2x² + x − 1 so that the resulting polynomial is exactly divisible by x² + 2x − 3?

Discussion

8436.	Find the coordinates of the intersection of the lines 2x−3y+1=0 and 2x+4y+5=0.
Answer» Find the coordinates of the intersection of the lines $2 x - 3 y + 1 = 0$ and $2 x + 4 y + 5 = 0$ .

Discussion

8437.	Find the condition that zeros of polynomial p(x)= ax2 + bx + c r reciprocal of each other. Explain stepwise.
Answer» Find the condition that zeros of polynomial p(x)= ax2 + bx + c r reciprocal of each other. Explain stepwise.

Discussion

8438.	The equation x22−r+y2r−5+1=0 represents an ellipse, if ___________.
Answer» The equation $\frac{x^{2}}{2 - r} + \frac{y^{2}}{r - 5} + 1 = 0$ represents an ellipse, if ___________.

Discussion

8439.	Show that ΔABC, where A(22, 0), B(2, 0), C(0, 2) and ΔPQR where P(–4, 0), Q(4, 0), R(0, 4) are similar triangles. [CBSE 2017]
Answer» Show that ΔABC, where A(22, 0), B(2, 0), C(0, 2) and ΔPQR where P(–4, 0), Q(4, 0), R(0, 4) are similar triangles. [CBSE 2017]

Discussion

8440.	Mr. Saurabh purchased 80 shares of FV ₹60 at a premium of ₹20. If the company is paying 15% dividend, then find the rate of return on investment.
Answer» Mr. Saurabh purchased 80 shares of FV ₹60 at a premium of ₹20. If the company is paying 15% dividend, then find the rate of return on investment.

Discussion

8441.	What is the alternative name for commercial banks?
Answer» What is the alternative name for commercial banks?

Discussion

8442.	If three zeroes of a polynomial x4−x3−3x2+3x are 0, √3 and −√3 then find the fourth zero.
Answer» If three zeroes of a polynomial $x^{4} - x^{3} - 3 x^{2} + 3 x$ are 0, $\sqrt{3}$ and $- \sqrt{3}$ then find the fourth zero.

Discussion

8443.	Two circles of radii 25cm and 9cm touch each other externally. Find the length of the direct common tangent. [4 MARKS]
Answer» Two circles of radii 25cm and 9cm touch each other externally. Find the length of the direct common tangent. [4 MARKS]

8443.

Two circles of radii 25cm and 9cm touch each other externally. Find the length of the direct common tangent. [4 MARKS]

Answer»

Two circles of radii 25cm and 9cm touch each other externally. Find the length of the direct common tangent. [4 MARKS]

Discussion

8444.	Draw a circle of radius 6 cm. Draw a tangent to this circle making an angle of 30∘ with a line passing through the centre. [3 MARKS]
Answer» Draw a circle of radius 6 cm. Draw a tangent to this circle making an angle of $30^{\circ}$ with a line passing through the centre. [3 MARKS]

Discussion

8445.	Which of the following trigonometric ratios have same values?
Answer» Which of the following trigonometric ratios have same values?

Discussion

8446.	Which terms of the A.P.3,15,27,39,... will be 120 more than its 21st term ?
Answer» Which terms of the A.P.3,15,27,39,... will be 120 more than its 21st term ?

Discussion

8447.	In∆PQR, If PQ > PR and bisectors of ∠Q and ∠R intersect at S. Show that SQ > SR.
Answer» In $∆$ PQR, If PQ > PR and bisectors of $∠$ Q and $∠$ R intersect at S. Show that SQ > SR.

Discussion

8448.	Question 2 (v) Write first four terms of the A.P. when the first term "a" and the common difference "d" are given as follows. (v) a=−1.25,d=−0.25
Answer» Question 2 (v) Write first four terms of the A.P. when the first term "a" and the common difference "d" are given as follows. (v) $a = - 1.25, d = - 0.25$

Discussion

8449.	from the top of a tower ,the angles of depression of the top and th bottom of the building are observed to be 30^° and 60^° respectively. if the height of the building is h meters,then the height of the tower will be?
Answer» from the top of a tower ,the angles of depression of the top and th bottom of the building are observed to be 30^° and 60^° respectively. if the height of the building is h meters,then the height of the tower will be?

Discussion

8450.	A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is(i) a black king(ii) either a black card or a king(iii) black and a king(iv) a jack, queen or a king(v) neither a heart nor a king(vi) spade or an ace(vii) neither an ace nor a king(viii) neither a red card nor a queen.(ix) other than an ace(x) a ten(xi) a spade(xii) a black card(xiii) the seven of clubs(xiv) jack(xv) the ace of spades(xvi) a queen(xvii) a heart(xviii) a red card(xix) neither a king nor a queen
Answer» A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is (i) a black king (ii) either a black card or a king (iii) black and a king (iv) a jack, queen or a king (v) neither a heart nor a king (vi) spade or an ace (vii) neither an ace nor a king (viii) neither a red card nor a queen. (ix) other than an ace (x) a ten (xi) a spade (xii) a black card (xiii) the seven of clubs (xiv) jack (xv) the ace of spades (xvi) a queen (xvii) a heart (xviii) a red card (xix) neither a king nor a queen

Discussion

Explore topic-wise InterviewSolutions in .

Find all the zeros of 2x4 – 3x3 – 3x2 + 6x – 2 if it is given that two of its zeros are 1 and 12.

Verify the cyclic symmetry of the following expressions if a, b and c are the variables:(1) a(b − c) + b(c − a) + c(a − b)(2) ab(a + b) + bc(b + c) + ca(c + a)(3) a2b(a − b) + b2c(b − c) + c2a(c − a)(4) a2(a + b) + b2(b + c) + c2(c + a)(5) ab2(a − b) + bc2(b − c) + ca2(c − a)

solve the equations by elimination method: 5x + (4/y) = 7, 4x + (3/y) = 5

1500 families with 2 children were selected randomly, and the following data were recorded: Number of boys in a family012Number of families475814211 Compute the probability of a family chosen at random having: i) no boy ii) 1 boy iii) 2 boys [4 MARKS]

In the above figure, O is the centre of the circle, FD is a tangent at C.Then, which of the following statement is NOT true?

A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is. Find the number of blue balls in the jar.

If alfa and beta are the zeros of a qualatic polynomial xsquare - 5x - 3 then find the qualatic polynomial whose zeros are alfa apon beta and beta apon alfa

If the area of the base of a right circular cone is 3850 cm2 and its height is 84 cm, then find the slant height of the cone.

33. M.F of A in vapours phase above the ideal solution of A and B (×A=0.4)will be p^° A=100,p^° B=200mm. A) 0.4 B)0.8 C) 0.25 D) none of these

Fill in the blanks.(i) Probability of an impossible event = ........ .(ii) Probability of a sure event = ........ .(iii) Let E be an event. Then, P(not E) = ......... .(iv) P(E) + P(not E) = ........ .(v) ....... ≤ P(E) ≤ ....... .

Candidate of four schools appear in a mathematics test. The data were as follows: Schools No. of Candidates Average Score I II III IV 60 48 Not available 40 75 80 55 50 If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.

The part of the lab that needs to be renovated is 5/6 sq. m. Which of the following number lines show the area of the lab to be renovated?

How many spherical lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead piece with dimension 6cm × 42 cm × 21 cm .

Find the equation of the straight line that has y - intercept 5 and is parallel to the straight line x - 3y = 3

In an A.P. a1, a2, a3, ..., an, ...., if a1 = 1, an = 20 and Sn = 399, then the value of n is __________.

In the given figure, if D is the mid-point of the hypotenuse AC of right \bigtriangleup ABC,if AB is 4 cm and BC is 3 cm, then BD is equalto

Solve the following systems of equations:12x+13y=213x+12y=136

The value of k for which the pair of linear equation 4x + 6y − 1 = 0 and 2x + ky − 7 = 0 represent parallel lines is(a) k = 3(b) k = 2(c) k = 4(d) k = −2

Given a circle with O as the centre. Find the value of x.

If the roots of equation x2+4x+c=0 are real then

X ml of H2 gas effuses through hole in 5 sec time taken for effusion of same volume of gas specified under identical condition is 1.20 sec O2 2.55sec co2

Tap on the region in which the probability of finding a crashed plane is 19.

The distance between the points (acos55∘, 0) and (0, acos35∘) is -

Find the indicated term in sequence, whose nth term is: an=(−1)n−1n3; a9

Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.

If tan2A=2tan2B+1; then which of the following can be the possible values of cos2A+sin2B ?

Question 12 On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk, so that each can cover the same distance in complete steps?

In mathematics exam the probability of Aayushi to score 100 out of 100 is 1/101 How is that possible?

find a quadratic polynomial each with the given numbers as the sum and product of its zero respectively 1/4 ,-1

Mr. Gulati has a Recurring Deposit Account of Rs 300 per month. If the rate of intererst is 12% and the maturity value of this account is Rs 8,100; find the time (in years ) of this Recurring Deposit Account.

1. Find angle CAB ,in the figure, if AOB is a diameter , C is any point on the circle and angle B =40 degrees

An aeroplane is flying at a height of 300 m above the ground. Flying at this height the angles of depression from the aeroplane of two points on both banks of a river in opposite directions are 45° ad 60° respectively. Find the width of the river. [Use 3=1.732] [CBSE 2017]

What must be added to the polynomial f(x) = x4 + 2x3 − 2x2 + x − 1 so that the resulting polynomial is exactly divisible by x2 + 2x − 3?

Find the coordinates of the intersection of the lines 2x−3y+1=0 and 2x+4y+5=0.

Find the condition that zeros of polynomial p(x)= ax2 + bx + c r reciprocal of each other. Explain stepwise.

The equation x22−r+y2r−5+1=0 represents an ellipse, if ___________.

Show that ΔABC, where A(22, 0), B(2, 0), C(0, 2) and ΔPQR where P(–4, 0), Q(4, 0), R(0, 4) are similar triangles. [CBSE 2017]

Mr. Saurabh purchased 80 shares of FV ₹60 at a premium of ₹20. If the company is paying 15% dividend, then find the rate of return on investment.

What is the alternative name for commercial banks?

If three zeroes of a polynomial x4−x3−3x2+3x are 0, √3 and −√3 then find the fourth zero.

Two circles of radii 25cm and 9cm touch each other externally. Find the length of the direct common tangent. [4 MARKS]

Draw a circle of radius 6 cm. Draw a tangent to this circle making an angle of 30∘ with a line passing through the centre. [3 MARKS]

Which of the following trigonometric ratios have same values?

Which terms of the A.P.3,15,27,39,... will be 120 more than its 21st term ?

In∆PQR, If PQ &gt; PR and bisectors of ∠Q and ∠R intersect at S. Show that SQ &gt; SR.

Question 2 (v) Write first four terms of the A.P. when the first term "a" and the common difference "d" are given as follows. (v) a=−1.25,d=−0.25

from the top of a tower ,the angles of depression of the top and th bottom of the building are observed to be 30^° and 60^° respectively. if the height of the building is h meters,then the height of the tower will be?

In∆PQR, If PQ > PR and bisectors of ∠Q and ∠R intersect at S. Show that SQ > SR.