Question # 1

If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all

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Real numbers n

Integers n

Positive integers n

None of these

In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is

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69°

66°

60°

63°

Which shape of the following objects are approximately parabolic ares?

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Light reflectors

Force

Weight of the pendul

None of these

If a +b +c =0 then which of the following is true

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a =b =c =0

a,b =b,c =c,a

a xb=b xc =c xa

None

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x-axis

y-axis

z-axis

None of these

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The solution of equation x2 + 2 = 0 in the set of real number is

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Infinite set

Singleton set

Null set

None of these

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3x²+ 2

3x²+ 2x + 3

x³+ x²

none of these

The multiplicative inverse of 4 is

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-4

-1/4

1/4

1

The solution set of the equation 4 cos²x - 3 + 0 is

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none of these

If f(x) = x²then f(2) is

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-2

2

4

-4

99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is

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9998

9999

10000

None of these

(x3-1/x)12

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295

495

395

722

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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

The square matrix A is skew-symmetric when At =

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-B

-C

-A

-D

The process of finding the unknown elements in triangle is called the

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solution of the triangle

Mean differnece

Engineering distance

angle of depressin

A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is

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57𝜊

-48𝜊

27𝜊

53𝜊

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is

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an ellipse

a hyperbola

a circle

a parabola

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2

0

In R, the additive identity is

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0

1

-1

None

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

The distance between the points A(-8,3) and B(2,-1) is

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116

none of these

The point ________ is in the solution of the inequality 2x - 3y > 5

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(1, -1)

(2,2)

(0,0)

(3,0)

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How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108

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8

6

7

36

For three consecutive terms in A.P middle term is called

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A.M

nth term

Central term

None of these

The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

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