Question # 1

0.25 is ______

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An irrational number

A natural number

A prime number

A rational number

If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to

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1

4

2

8

sin (α+β) + sin (α-β)

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2 sinαcosβ

sin (2αβ)

sinαcosα

None of these

The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is

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70 m

85 m

35 m

None of these

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1

2

3/2

5/2

Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

If 0 = R, thenthe additive inverse of a is

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1/9

^1/-9

a

-a

If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then

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k = 2

k = ±2

k = -2

k ≠0

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The equation of the circle with centre (h, k) and radius r is

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(x+ h)²+ (y+ k)²= r²

(x+ h)²+ (y - k)²= r²

(x - h)²+ (y+ k)²= r²

(x - h)²+ (y - k)²= r²

The equation of the circle with centre (5, -2) and radius 4 is

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(x-5)²+ (y+2)²= 16

(x-5)²+ (y+2)²= 4

(x-5)²+ (y-2)²= 16

(x-5)²+ (y-2)²= 4

The first three terms in the expansion of (1 - x)^-3are

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1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

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The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is

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36 square units

3 square units

6 square units

18 square units

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

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0

2

4

7

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The line y = 2 x + c is a tangent to the parabola y²= 16 x if c equals

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-2

-1

0

2

If G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

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none of these

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- cot 4x + c

cot 4x + c

tan 4x + c

- tan 4x + c

If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

The solution of the equation cos²θ+ sinθ+ 1 = 0 lies in the interval

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If f(x) = x²- x then f(-2) is

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4

6

2

0

A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

1 + 2 + 3 + ...... + n = ______

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If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____

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[a.b.c]

2[a,b,c]

[abc]-2

2[abc]2

If a > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

For any equilateral r :R :η :r1 :r2 :r3 =

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1:2:3:4:5

1:2:3:3:3

1:2:4:4:4

2:1 :2 :2 :2

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