Question # 1

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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

Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

cos 6θ + cos 2 θ =_______;

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-2sin 4θ sin 2θ

2cos4θ cos2θ

2sin4θ cos2θ

2cos4θ sin2θ

In (x +iy) y is called as

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Imaginary part

Complex number

Real part

None of above

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1

-1

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

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0

-25

5

45

If the roots of ax2 + b =0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0,b > 0

The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally

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Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

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A = B

B = C

A≠ C

A ≠ B

cos(π/2-θ) = ________;

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cosθ

sinθ

-cosθ

-sinθ

The eccentricity e of an ellipse is always

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Rational

Real

Irrational

Integer

Sine rule for a triangle states that

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a/sin A = b/sin B = c/sin C

sin A/a = sin B/b = sin C/c

a/sin A + b/sin B + c/sin C

2a/sin A = 2b/sin B = 2c/sin C

The negative square root of 9 can be written as:

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-√9

√9

√18

-√18

Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for

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BA

A²

AB

B²

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square root function

identity function

linear function

quadratic function

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If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

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Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

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2

3

4

1

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

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1 x 1

1 x 10

10 x 10

10 x 1

In R the number of identity elements w.r.t.'.' is

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One

Two

Three

Four

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

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

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1700

17023

17027

17010

1st four terms of the expansion (1-x)^-2are

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1 + 2x + 3x²+ 4x³

3x²+ 2x + 1

1 + 3x + 4x²+ 5x³

None of these

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none of these

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cos 2x

2 cos 2x

2 sin2x

-2 cos2x

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In(x²- x + 1) + c

In(2x - 1) + c

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Sequence also called..............

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Series

Function

progressions

Elements

Tangent is ...............function

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Inverse

one-one

in-to

Periodic

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3x²+ 2

3x²+ 2x + 3

x³+ x²

none of these

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