32581 + Interview Questions in Mathematics

1.	ntProve that the triangle of maximum area that can be inscribed in a given circle is an equilateral triangle.n
Answer» ntProve that the triangle of maximum area that can be inscribed in a given circle is an equilateral triangle.n

Discussion

2.	The internal and external diameter of a hollow hemispherical shell are 6 cm and 10 cm respectively. What is the total surface area of the shell?
Answer» The internal and external diameter of a hollow hemispherical shell are 6 cm and 10 cm respectively. What is the total surface area of the shell?

Discussion

3.	Find the area of a circle which encloses a square of side 10 cm.
Answer» Find the area of a circle which encloses a square of side 10 cm.

Discussion

4.	If →a=^i+2^j+2^k and →b=3^i+6^j+2^k, then the vector in the direction of →a and having magnitude as \|→b\| is
Answer» If $\to a =^i + 2^j + 2^k$ and $\to b = 3^i + 6^j + 2^k,$ then the vector in the direction of $\to a$ and having magnitude as $\| \to b \|$ is

Discussion

5.	Let p(x)=x2–5x+a and q(x)=x2–3x+b, where a and b are positive integers. Suppose hof(p(x),q(x)) = x – 1 and k(x) = 1cm (p(x), q(x)). If the coefficient of the highest degree term of k(x) is 1, the sum of the roots of (x – 1) + k(x) is.
Answer» Let $p (x) = x^{2} - 5 x + a$ and $q (x) = x^{2} - 3 x + b$ , where a and b are positive integers. Suppose hof(p(x),q(x)) = x – 1 and k(x) = 1cm (p(x), q(x)). If the coefficient of the highest degree term of k(x) is 1, the sum of the roots of (x – 1) + k(x) is.

Discussion

6.	Three small metallic cubes whose edges are in the ratio 3 : 4 : 5 are melted to form a big cube. If the diagonal of the cube so formed is 18 cm, then the total surface area of the smallest cube is __________.
Answer» Three small metallic cubes whose edges are in the ratio 3 : 4 : 5 are melted to form a big cube. If the diagonal of the cube so formed is 18 cm, then the total surface area of the smallest cube is __________.

Discussion

7.	48.What is intensity of gravitational field of spherical shell with derivation?
Answer» 48.What is intensity of gravitational field of spherical shell with derivation?

Discussion

8.	In the given figure, ∠ABC = 90° and BD ⊥ AC. If AB = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm, find BC.
Answer» In the given figure, ∠ABC = 90° and BD ⊥ AC. If AB = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm, find BC.

Discussion

9.	If α, β, γ are are the zeros of the polynomial f(x) = x3 − px2 + qx − r, then 1αβ+1βγ+1γα=
Answer» If α, β, γ are are the zeros of the polynomial f(x) = x³ − px² + qx − r, then $\frac{1}{αβ} + \frac{1}{βγ} + \frac{1}{γα} =$

Discussion

10.	The probability of throwing a number greater than 2 with a fair die is (a) 25 (b) 56 (c) 13 (d) 23
Answer» The probability of throwing a number greater than 2 with a fair die is (a) $\frac{2}{5}$ (b) $\frac{5}{6}$ (c) $\frac{1}{3}$ (d) $\frac{2}{3}$

Discussion

11.	Two lamp posts are of equal height. A boy standing mid-way between then observes the elevation of the top of either post to be 30∘. After walking 15 m towards one of them, he observes the elevation of it stop to be 60∘. Find the heights of the posts and the distance between them.
Answer» Two lamp posts are of equal height. A boy standing mid-way between then observes the elevation of the top of either post to be $30^{\circ}$ . After walking $15 m$ towards one of them, he observes the elevation of it stop to be $60^{\circ}$ . Find the heights of the posts and the distance between them.

Discussion

12.	Plot the graph y=\vert x\vert
Answer» Plot the graph y=\vert x\vert

Discussion

13.	If one zero of the polynomial f(x) = (k2 + 4)x2 + 13x + 4k is reciprocal of the other, then k =(a) 2(b) −2(c) 1(d) −1
Answer» If one zero of the polynomial f(x) = (k² + 4)x² + 13x + 4k is reciprocal of the other, then k = (a) 2 (b) −2 (c) 1 (d) −1

Discussion

14.	The below table shows that profit made by a group of shops in mall. Then the median is Profit per shop less than(%)102030405060No. of shops1230577794100
Answer» The below table shows that profit made by a group of shops in mall. Then the median is $\begin{matrix} Profit per shop less than (%) & 10 & 20 & 30 & 40 & 50 & 60 No. of shops & 12 & 30 & 57 & 77 & 94 & 100 \end{matrix}$

14.

The below table shows that profit made by a group of shops in mall. Then the median is Profit per shop less than(%)102030405060No. of shops1230577794100

Answer»

The below table shows that profit made by a group of shops in mall. Then the median is

$\begin{matrix} Profit per shop less than (%) & 10 & 20 & 30 & 40 & 50 & 60 No. of shops & 12 & 30 & 57 & 77 & 94 & 100 \end{matrix}$

Discussion

15.	The product of two consecutive odd numbers is 675. If the smaller odd number is x, then the representation of the given condition in the form of quadratic equation is ____________.
Answer» The product of two consecutive odd numbers is 675. If the smaller odd number is $x$ , then the representation of the given condition in the form of quadratic equation is ____________.

Discussion

16.	Solve each of the following quadratic equations:1x-1-1x+5=67, x≠1, -5 [CBSE 2010]
Answer» Solve each of the following quadratic equations: $\frac{1}{x - 1} - \frac{1}{x + 5} = \frac{6}{7}, x \neq 1, - 5$ [CBSE 2010]

Discussion

17.	Three cubes of side 4 cm each, are joined end to end. Then, the total surface area of the resultant cuboid is
Answer» Three cubes of side $4 c m$ each, are joined end to end. Then, the total surface area of the resultant cuboid is

Discussion

18.	In the given figure, ∠ABC = 90∘ and BM is a median, AB = 8 cm and BC = 6 cm. Then, choose the correct option(s).
Answer» In the given figure, ∠ABC = $90^{\circ}$ and BM is a median, AB = 8 cm and BC = 6 cm. Then, choose the correct option(s).

18.

In the given figure, ∠ABC = 90∘ and BM is a median, AB = 8 cm and BC = 6 cm. Then, choose the correct option(s).

Answer»

In the given figure, ∠ABC = $90^{\circ}$ and BM is a median, AB = 8 cm and BC = 6 cm. Then, choose the correct option(s).

Discussion

19.	let a is not equal 0 p(x) be a polynomial of degree greater than 2 . if p(x) leaves remainder a and -a whendivided respectively by (x+a) and (x-a) , then the remainder when p(x) is divided by (x^2-a^2) is options are (a) -2x(b) -x(c) 0(d) 2a
Answer» let a is not equal 0 p(x) be a polynomial of degree greater than 2 . if p(x) leaves remainder a and -a whendivided respectively by (x+a) and (x-a) , then the remainder when p(x) is divided by (x^2-a^2) is options are (a) -2x(b) -x(c) 0(d) 2a

Discussion

20.	In the given right angle triangle, if Sinθ =35, then find the value of 3tanα.
Answer» In the given right angle triangle, if $S i n θ = \frac{3}{5}$ , then find the value of $3 t a n α$ .

20.

In the given right angle triangle, if Sinθ =35, then find the value of 3tanα.

Answer»

In the given right angle triangle, if $S i n θ = \frac{3}{5}$ , then find the value of $3 t a n α$ .

Discussion

21.	Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients :2√3x2−5x+√3
Answer» Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients : $2 \sqrt{3} x^{2} - 5 x + \sqrt{3}$

21.

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients :2√3x2−5x+√3

Answer»

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients :

$2 \sqrt{3} x^{2} - 5 x + \sqrt{3}$

Discussion

22.	Take any point O in the interior of a triangle PQR:Is OP + OQ > PQ?Is OP + OR > PR?Is OQ+ OR > QR?
Answer» Take any point O in the interior of a triangle PQR: Is OP + OQ > PQ? Is OP + OR > PR? Is OQ+ OR > QR?

Discussion

23.	If 2x+y=2x−y=√8 then the value of y is (a) 12 (b) 32 (c) 0 (d) none of these
Answer» If $2^{x + y} = 2^{x - y} = \sqrt{8}$ then the value of y is (a) $\frac{1}{2}$ (b) $\frac{3}{2}$ (c) 0 (d) none of these

23.

If 2x+y=2x−y=√8 then the value of y is (a) 12 (b) 32 (c) 0 (d) none of these

Answer»

If $2^{x + y} = 2^{x - y} = \sqrt{8}$ then the value of y is

(a) $\frac{1}{2}$ (b) $\frac{3}{2}$ (c) 0 (d) none of these

Discussion

24.	The perimeter of two similar triangles are 81 cm and 63 cm respectively. If one side of the first triangle be 18 cm, then the corresponding side of the smaller triangle is ___ cm long.
Answer» The perimeter of two similar triangles are 81 cm and 63 cm respectively. If one side of the first triangle be 18 cm, then the corresponding side of the smaller triangle is ___ cm long.

Discussion

25.	Volume of a cylinder is three times the volume of a ___ on the same base and of the same height.
Answer» Volume of a cylinder is three times the volume of a ___ on the same base and of the same height.

Discussion

26.	If tan θ=1√2,find the value of cosec2θ−sec2θcosec2θ+cot2θ
Answer» $If t a n θ = \frac{1}{\sqrt{2}}, find the value of \frac{c o s e c^{2} θ - s e c^{2} θ}{c o s e c^{2} θ + c o t^{2} θ}$

Discussion

27.	Question 9 Find P(0) , P(1) and P(-2) for the following polynomials: (i) P(x)=10x–4x2–3 (ii) P(y)=(y+2)(y−2)
Answer» Question 9 Find P(0) , P(1) and P(-2) for the following polynomials: (i) $P (x) = 10 x - 4 x^{2} - 3$ (ii) $P (y) = (y + 2) (y - 2)$

Discussion

28.	How sin(pie-theta)=sin theta,
Answer» How sin(pie-theta)=sin theta,

Discussion

29.	A bag contains 6 red balls and some blue balls. If the probability of drawing a blue ball from the bag is twice that of a red ball, find the number of blue balls in the bag.
Answer» A bag contains 6 red balls and some blue balls. If the probability of drawing a blue ball from the bag is twice that of a red ball, find the number of blue balls in the bag.

Discussion

30.	Question 1 (vi)Solve the following pairs of equations by reducing them to a pair of linear equations:6x + 3y = 6xy2x + 4y = 5xy
Answer» Question 1 (vi) Solve the following pairs of equations by reducing them to a pair of linear equations: 6x + 3y = 6xy 2x + 4y = 5xy

Discussion

31.	In the given figure use the similarity of the given triangles to find the value of BD. ∠ABC=∠BDC=90o AB=3, BC=4, AD=2 BD=?
Answer» In the given figure use the similarity of the given triangles to find the value of BD. ∠ABC=∠BDC=90^o AB=3, BC=4, AD=2 BD=?

Discussion

32.

Following is the Balance Sheet of A and B, who shared Profits and Losses in the ratio of 2 : 1, as at 1st April, 2019: BALANCE SHEET OF A AND B as on 1st April, 2019 Liabilities Amount (₹) Assets Amount (₹) Capital A/cs: Land ad Building 2,90,000 A 3,00,000 Furniture 80,000 B 2,00,000 5,00,000 Stock 2,40,000 Reserve 1,50,000 Debtors 1,50,000 Creditors 2,00,000 Bank 60,000 Cash 30,000 8,50,000 8,50,000 On the above date, the partners changed their profit-sharing ratio to 3 : 2. For this purpose, the goodwill of the firm was valued at ₹ 3,00,000. The partners also agreed for the following:(a) The value of Land and Building will be ₹ 5,00,000;(b) Reserve is to be maintained at ₹ 3,00,000.(c) The total capital of the partners in the new firm will be ₹ 6,00,000, which will be shared by the partners in their new profit-sharing ratio.Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of the reconstituted firm.

Answer» Following is the Balance Sheet of A and B, who shared Profits and Losses in the ratio of 2 : 1, as at 1st April, 2019:

BALANCE SHEET OF A AND B as on 1st April, 2019
Liabilities		Amount (₹)	Assets	Amount (₹)
Capital A/cs:			Land ad Building	2,90,000
A	3,00,000		Furniture	80,000
B	2,00,000	5,00,000	Stock	2,40,000
Reserve		1,50,000	Debtors	1,50,000
Creditors		2,00,000	Bank	60,000
			Cash	30,000

		8,50,000		8,50,000

On the above date, the partners changed their profit-sharing ratio to 3 : 2. For this purpose, the goodwill of the firm was valued at ₹ 3,00,000. The partners also agreed for the following:

(a) The value of Land and Building will be ₹ 5,00,000;

(b) Reserve is to be maintained at ₹ 3,00,000.

(c) The total capital of the partners in the new firm will be ₹ 6,00,000, which will be shared by the partners in their new profit-sharing ratio.

Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of the reconstituted firm.

Discussion

33.	Question 12 From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60∘ and the angle of depression of its foot is 45∘. Determine the height of the tower.
Answer» Question 12 From the top of a 7 m high building, the angle of elevation of the top of a cable tower is $60^{\circ}$ and the angle of depression of its foot is $45^{\circ}$ . Determine the height of the tower.

Discussion

34.	If α and β are the zeros of the polynomial f(x) = x2 + px + q, from a polynomial whose zeros are (α + β)2 and (α − β)2.
Answer» If α and β are the zeros of the polynomial f(x) = x² + px + q, from a polynomial whose zeros are (α + β)² and (α − β)².

Discussion

35.	In two concentric circles, a chord of length 8 cm of the larger circle touches the smaller circle. If the radius of the larger circle is 5 cm then find the radius of the smaller circle.
Answer» In two concentric circles, a chord of length 8 cm of the larger circle touches the smaller circle. If the radius of the larger circle is 5 cm then find the radius of the smaller circle.

Discussion

36.	Solve the system of equations Rez2=0, z=2.
Answer» Solve the system of equations $Re (z^{2}) = 0, \|z\| = 2$ .

Discussion

37.	Area of the quadrilateral formed by (2, -1), (4, 3), (-1, 2), (-3, -2) is
Answer» Area of the quadrilateral formed by (2, -1), (4, 3), (-1, 2), (-3, -2) is

Discussion

38.	The probability of an event of a trial
Answer» The probability of an event of a trial

Discussion

39.	There are 2 examination rooms A and B . If 10 students are sent from A to B, the number of students in each room is the same . If 20 candidates are sent from B to A , then the number of students in A is double the number of students in B. The number of students in room A is ?
Answer» There are 2 examination rooms A and B . If 10 students are sent from A to B, the number of students in each room is the same . If 20 candidates are sent from B to A , then the number of students in A is double the number of students in B. The number of students in room A is ?

Discussion

40.	If the shadow of a tower is equal to its height, then the angle of elevation of the top of the tower is ___.
Answer» If the shadow of a tower is equal to its height, then the angle of elevation of the top of the tower is ___.

40.

If the shadow of a tower is equal to its height, then the angle of elevation of the top of the tower is ___.

Answer»

If the shadow of a tower is equal to its height, then the angle of elevation of the top of the tower is ___.

Discussion

41.	A cone of height 20 cm and radius of base 5 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the diameter of the sphere. [CBSE 2011]
Answer» A cone of height 20 cm and radius of base 5 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the diameter of the sphere. [CBSE 2011]

Discussion

42.	Find the first term of an arithmetic progression, if its 7th term is 4 and common difference is -4.
Answer» Find the first term of an arithmetic progression, if its $7^{t h}$ term is 4 and common difference is -4.

Discussion

43.	Draw the co-ordinate system on a plane and plot the following points.L(-2, 4), M(5, 6), N(-3, -4), P(2, -3), Q(6, -5), S(7, 0), T(0,-5)
Answer» Draw the co-ordinate system on a plane and plot the following points. L( $-$ 2, 4), M(5, 6), N( $-$ 3, $-$ 4), P(2, $-$ 3), Q(6, $-$ 5), S(7, 0), T(0, $-$ 5)

Discussion

44.	The graph of y = p(x) is given. Assuming p(x) increases from x=10, the number of zeroes of y = p(x) is___.
Answer» The graph of y = p(x) is given. Assuming p(x) increases from x=10, the number of zeroes of y = p(x) is___.

Discussion

45.	The radius and height of a cone are in the ratio 4:3. The area of the base is 154 cm2. The area of the curved surface in cm2 is ___
Answer» The radius and height of a cone are in the ratio $4 : 3.$ The area of the base is $154 c m^{2}$ . The area of the curved surface in $c m^{2}$ is ___

Discussion

46.	Three girls Celina, Esha and Hazel are playing a game by standing on a circle of radius 10 m drawn in apark. Celina throws a ball to Esha, Esha to Hazeland Hazel to Celina. If the distance between Celina and Esha and between Esha and Hazel is 12 m each.then find the distance between Hazel and Celina
Answer» Three girls Celina, Esha and Hazel are playing a game by standing on a circle of radius 10 m drawn in apark. Celina throws a ball to Esha, Esha to Hazeland Hazel to Celina. If the distance between Celina and Esha and between Esha and Hazel is 12 m each.then find the distance between Hazel and Celina

Discussion

47.	Question 22Which term of the AP –2, –7, –12,.. will be –77? Find the sum of this AP upto the term –77.
Answer» Question 22 Which term of the AP –2, –7, –12,.. will be –77? Find the sum of this AP upto the term –77.

Discussion

48.	How many terms are there in the A.P. whose first and fifth terms are -14 and 2 respectively and the sum of the terms is 40?
Answer» How many terms are there in the A.P. whose first and fifth terms are -14 and 2 respectively and the sum of the terms is 40?

Discussion

49.	18. From a lighthouse 100m high, it is observed that two ships are approaching it from west and south .if angle of depression of two shipsare 30 degree and 45 degree respectively the distance between the ships, in meters, is :
Answer» 18. From a lighthouse 100m high, it is observed that two ships are approaching it from west and south .if angle of depression of two shipsare 30 degree and 45 degree respectively the distance between the ships, in meters, is :

Discussion

50.	The radius of a circle is perpendicular to the tangent at the point of ___ .
Answer» The radius of a circle is perpendicular to the tangent at the point of ___ .

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

ntProve that the triangle of maximum area that can be inscribed in a given circle is an equilateral triangle.n

The internal and external diameter of a hollow hemispherical shell are 6 cm and 10 cm respectively. What is the total surface area of the shell?

Find the area of a circle which encloses a square of side 10 cm.

If →a=^i+2^j+2^k and →b=3^i+6^j+2^k, then the vector in the direction of →a and having magnitude as |→b| is

Let p(x)=x2–5x+a and q(x)=x2–3x+b, where a and b are positive integers. Suppose hof(p(x),q(x)) = x – 1 and k(x) = 1cm (p(x), q(x)). If the coefficient of the highest degree term of k(x) is 1, the sum of the roots of (x – 1) + k(x) is.

Three small metallic cubes whose edges are in the ratio 3 : 4 : 5 are melted to form a big cube. If the diagonal of the cube so formed is 18 cm, then the total surface area of the smallest cube is __________.

48.What is intensity of gravitational field of spherical shell with derivation?

In the given figure, ∠ABC = 90° and BD ⊥ AC. If AB = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm, find BC.

If α, β, γ are are the zeros of the polynomial f(x) = x3 − px2 + qx − r, then 1αβ+1βγ+1γα=

The probability of throwing a number greater than 2 with a fair die is (a) 25 (b) 56 (c) 13 (d) 23

Two lamp posts are of equal height. A boy standing mid-way between then observes the elevation of the top of either post to be 30∘. After walking 15 m towards one of them, he observes the elevation of it stop to be 60∘. Find the heights of the posts and the distance between them.

Plot the graph y=\vert x\vert

If one zero of the polynomial f(x) = (k2 + 4)x2 + 13x + 4k is reciprocal of the other, then k =(a) 2(b) −2(c) 1(d) −1

The below table shows that profit made by a group of shops in mall. Then the median is Profit per shop less than(%)102030405060No. of shops1230577794100

The product of two consecutive odd numbers is 675. If the smaller odd number is x, then the representation of the given condition in the form of quadratic equation is ____________.

Solve each of the following quadratic equations:1x-1-1x+5=67, x≠1, -5 [CBSE 2010]

Three cubes of side 4 cm each, are joined end to end. Then, the total surface area of the resultant cuboid is

In the given figure, ∠ABC = 90∘ and BM is a median, AB = 8 cm and BC = 6 cm. Then, choose the correct option(s).

let a is not equal 0 p(x) be a polynomial of degree greater than 2 . if p(x) leaves remainder a and -a whendivided respectively by (x+a) and (x-a) , then the remainder when p(x) is divided by (x^2-a^2) is options are (a) -2x(b) -x(c) 0(d) 2a

In the given right angle triangle, if Sinθ =35, then find the value of 3tanα.

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients :2√3x2−5x+√3

Take any point O in the interior of a triangle PQR:Is OP + OQ > PQ?Is OP + OR > PR?Is OQ+ OR > QR?

If 2x+y=2x−y=√8 then the value of y is (a) 12 (b) 32 (c) 0 (d) none of these

The perimeter of two similar triangles are 81 cm and 63 cm respectively. If one side of the first triangle be 18 cm, then the corresponding side of the smaller triangle is ___ cm long.

Volume of a cylinder is three times the volume of a ___ on the same base and of the same height.

If tan θ=1√2,find the value of cosec2θ−sec2θcosec2θ+cot2θ

Question 9 Find P(0) , P(1) and P(-2) for the following polynomials: (i) P(x)=10x–4x2–3 (ii) P(y)=(y+2)(y−2)

How sin(pie-theta)=sin theta,

A bag contains 6 red balls and some blue balls. If the probability of drawing a blue ball from the bag is twice that of a red ball, find the number of blue balls in the bag.

Question 1 (vi)Solve the following pairs of equations by reducing them to a pair of linear equations:6x + 3y = 6xy2x + 4y = 5xy

In the given figure use the similarity of the given triangles to find the value of BD. ∠ABC=∠BDC=90o AB=3, BC=4, AD=2 BD=?

Question 12 From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60∘ and the angle of depression of its foot is 45∘. Determine the height of the tower.

If α and β are the zeros of the polynomial f(x) = x2 + px + q, from a polynomial whose zeros are (α + β)2 and (α − β)2.

In two concentric circles, a chord of length 8 cm of the larger circle touches the smaller circle. If the radius of the larger circle is 5 cm then find the radius of the smaller circle.

Solve the system of equations Rez2=0, z=2.

Area of the quadrilateral formed by (2, -1), (4, 3), (-1, 2), (-3, -2) is

The probability of an event of a trial

There are 2 examination rooms A and B . If 10 students are sent from A to B, the number of students in each room is the same . If 20 candidates are sent from B to A , then the number of students in A is double the number of students in B. The number of students in room A is ?

If the shadow of a tower is equal to its height, then the angle of elevation of the top of the tower is ___.

A cone of height 20 cm and radius of base 5 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the diameter of the sphere. [CBSE 2011]

Find the first term of an arithmetic progression, if its 7th term is 4 and common difference is -4.

Draw the co-ordinate system on a plane and plot the following points.L(-2, 4), M(5, 6), N(-3, -4), P(2, -3), Q(6, -5), S(7, 0), T(0,-5)

The graph of y = p(x) is given. Assuming p(x) increases from x=10, the number of zeroes of y = p(x) is___.

The radius and height of a cone are in the ratio 4:3. The area of the base is 154 cm2. The area of the curved surface in cm2 is ___

Question 22Which term of the AP –2, –7, –12,.. will be –77? Find the sum of this AP upto the term –77.

How many terms are there in the A.P. whose first and fifth terms are -14 and 2 respectively and the sum of the terms is 40?

18. From a lighthouse 100m high, it is observed that two ships are approaching it from west and south .if angle of depression of two shipsare 30 degree and 45 degree respectively the distance between the ships, in meters, is :

The radius of a circle is perpendicular to the tangent at the point of ___ .