Question # 1

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A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is

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1/13

2/13

7/52

None of these

If one root of the equation x²- 3x + a = 0 is 2 then a = ______

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0

1

2

3

f(x) = log x + 3 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

A polynomial of arbitrary degree

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f(x) = o

f(x) = x

f(x) = a

f(x) = ax + b,a ≠ 0

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The length of the tangent from (2, 1) to the circle x²+ y²+ 4y + 3 = 0 is

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The center of the sphore which passes thro' (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) is

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The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are

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If the roots of x²+ ax + b = 0 are non-real, then for all real x, x²+ ax + b is

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Negative

Positive

Zero

Nothing can be said

Period of tan 4x is ______

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The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by

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A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

None of these

Name the property used in 100 + 0 = 100

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Additive inverse

Multiplicative inverse

Additive identity

Multiplicative identity

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0

1

1/2

The sum of first n even number is

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n2

n(n+1)

n+1

n+2

If aand bare two vectors then a+b =

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b + a

b - a

ab

a^ b

If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is:

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y² = -4 ax

x² = 4ay

x² = -4ay

y² = 4ax

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cos x

sec x tan x

sec²x

-cosec²x

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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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For all points (x,y) in fourth quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

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A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

Q∪ Q' =

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Q

Q'

N

R

f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

An open sentences formed by using the sign of equality '=' is called ______

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An identity

An equation

A polynomial

None of these

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