Question # 1

The no of term is the expansion of (a+x)n-1 is

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n+1

n-1

n

n-2

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none of these

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The distance of the point (2, -3) from x-axis is

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-2

-3

2

3

What is the conjugate of -7 -2i ?

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-7 + 2i

7 +2i

7 -2i

√53

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

Which of the following is a scalar.

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electric field

magnetic field

weight

mass

n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

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2 / 5

3 / 5

4 / 5

None of these

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I quadrant

II quadrant

III quadrant

IV quadrant

The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is

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(-3,10)

(-3,-10)

(3,10)

(3,-10)

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

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0

5

6

10

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

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If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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In(x²- x + 1) + c

In(2x - 1) + c

The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is

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θ = 30°

θ = 45°

θ = 60°

θ = 75°

The equation of a line parallel to the tangent to the circle x²+ y²= 16 at the point (2, 3) and passing thro' the origin is

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2x + 3y = 0

2x - 3y = 0

3x + 2y = 0

3x - 2y = 0

A relation in which the equality is true only for some values of the known is called ______

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An identity

An equation

A polynomial

None of these

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0

3

9

-3

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real part of z

imaginary part of z

conjugate of z

modulus of z

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

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The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

The range of y = cot x = ______

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-∞> y > +∞

-∞> x > +∞

-∞ <y < +∞

None of above

Ifθ= 60° then

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sinθ= 1/2

tanθ= cot 30°

θ=π/4

secθ= 4

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Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is

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(2, 0)

(3, 0)

(0, 3)

(3, 2)

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