Question # 1

Cos^-1 12/13 =

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tan^-1 3/5

cot^-1 13/12

Sec^-1 13/12

sin^-1 5/13

The eccentricity of parabola is:

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1

0

Greater than 1

Less than 1

Range of cosθis

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The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

Which is a proper rational fraction

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If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

The equation of the circle wit (-1, 1) and radius 2 is

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2

6

202.04 is an example of

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Recurring decimals

Non-recurring decimals

Terminating decimals

None of above

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5 / 12

3 / 8

5 / 8

7 / 4

The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0

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4

64

8

All values of k

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Domain of 1+cot2θ=csc2θ is

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[0,π]

R-{x/x=nπ,n∈ z}

(-∞,+∞)

[-1,1]

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

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A = x, B = 1

A = 0, B = 2

A = -1, B = 1

A = x-1, B = x + 1

If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

Range of tanθis

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Set of complex numbers

Set of real numbers

Set of odd numbers

Set of positive integers only

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Polynomial of degree 0

Polynomial of degree 1

Polynomial of degree 2

Polynomial of degree n

Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon

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n, a, b

n, a

n, b

n

If the 4th term in the expansion of (px + x^-1)^mis 2.5 for all x∈ R, then

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0

1

-1

undefined

The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

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120

124

128

132

Roots of the equation x²+ 5x - 1 = 0 are

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Rational

Irrational

Complex

None of these

The axis of the parabola x² = 4ay is:

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y = 0

x = 0

x = -a

y = a

Area of the circle with ends of a diameter at (-3,2) and (5,-6)

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128π sq. units

64π sq. units

32π sq.units

None of these

For two vector a and b, a+b = _______

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a b

b+a

b-a

None

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