Question # 1

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The solution set of the equation tan^-1x - cot^-1x = cos^-1(2 - x) is

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[0, 1]

[-1, 1]

[1, 3]

None of these

The distance of the point (2.3) from x-axis is

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2

3

5

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

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(5, 3, 1)

(4, 3, 2)

(5, 5, 1)

(6, 4, 1)

if f(x) = x³ -3x² +5x -1, then f(-√2)=

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7+7√2

3+3√2

-7-7√2

-3-3√2

By expressing cos 113° in terms of trigonometrical ratios, answer will be

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− cos 76° = -0.7093

− cos 65° = -0.4258

− cos 67° = -0.3907

− cos 62° = -0.8520

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

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Wholw number

Prime number

Even number

Odd number

tan h x = _________

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If S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

None of these

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9. 8. 7. 6= ______

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Tan 180° = ______

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-1

0

1

Undefined

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

Which one is a pair of allied angles

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(180° -θ)

(180° -θ,180° +θ)

(180° +θ)

None of these

Let a₁, a₂, a₃, a₄and a₅be such that a₁, a₂, and a₃are in A.P., a₂, a₃and a₄are in G.P and a₃, a₄and a₅are in H.P. Then, a₁, a₃and a₅are in

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G.P.

A.P.

H.P.

None of these

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

The smallest positive root of the equation tan x - x = 0 lies on

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What is the number of elements of the power set of {0, 1}

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1

2

3

4

If origin is the mid point of (a,3) and (5,b) then

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a = -5 , b = -3

a = 5 , b =3

a = -5 , b = 3

a = 5 , b = -3

Archimedes approximate the function by horizontal function and the area under f by the sum of small

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Parallelograms

Squares

Retangles

Polygons

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

If the expansion of (1 + x)²⁰, then co-efficient of rth ad (r + 4)th term are equal, then r is

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7

8

9

10

The distance between the points A(3,1) and B(-2,-4) is

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5

25

10

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Which of the following is a quadrantal angle

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100°

200°

170°

270°

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is

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If circumference of circle is divided into 360 congruent parts the angle subtended by one part at the centre of circle is

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1 degree

1 second

1 minute

1 radian

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