Question # 1

The set {0,-1} hold closure property under

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Addition

Both a & c

Multiplication

None of these

The equation of the parabola with directirx x = 2 and the axis y = 0 is

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y²= 8x

y²= -8x

y²= 4x

y²= -4x

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2

-1

8

not defined

The velocity of a particle moving along a straight line is given by v = 3t + t². The acceleration of the particle after 4 seconds from the start is

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4

11

26

None

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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

sin (α+β) - sin (α -β) =

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4 cosαsinβ

2 cosαsinβ

4 cosαcosβ

4 sin αsinβ

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

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0.4cm

8.8πcm

17.6 πcm

35.2πcm

For the parabola the line through focus and perpendicular to the directrix is called

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Tangent

Vertex

Axis

None

If (2,0) is the vertex and y-axis is directrix of parabola then focus is

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(2,0)

(-2,0)

(4,0)

(-4,0)

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

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Fractinal numbers

Rational Numbers

Even Numbers

Whole Numbers

Which of the following is a scalar.

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force

frequency

weight

acceleration

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

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

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cos 2x + c

- cos 2x + c

tan 2x + c

cot 2x + c

The mid point of the line segment joining the points (4,0) and (0,4) is

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(4,4)

(2,2)

(-4,-4)

(-2,-2)

Range of sin x is ______

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[-1, 1]

R

Negative real numbers

None of these

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

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50

25

10

100

An event having more than one sample point is called

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Certain event

Compound event

Simple event

None

Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is

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2

1

0

None of these

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A subset of set of complex number whose elements are of the form (a,0) is called

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Real number

Complex number

Rational number

Irrational number

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The decimal fraction in which we have finite number of digits in its decimal part is called.

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recurring decimal fraction

Non terminating faction

Non recurring fraction

terminating decimal fraction

In any triangle ABC,with usual notationαsinβ =____;

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b sinα

bsinβ

αsinα

None of these

The multiplicative inverse of x such that x = 0 is

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-x

Does not exist

1/x

±1

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0

undefined

The distance of point P(x,y) from focus in a parabola

y² =4ax, is:

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2a

a

x + a

x-a

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