Question # 1

If s = 2t³- 3t²+ 15t - 8 is the equation of motion of a particle, then its initial velocity is

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8

15

-6

None

If the circumference of a circle is divided into 360 congruent parts, the angle subtended by one part at the centre of the circle is

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1⁰

1'

1"

1 rad

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The point which is closet to the focus of a parabola is:

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vertex

Chord

Focus

Directix

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

If x = 1/x for x ∈ R then the value of x is

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±1

0

2

4

Power set of difference set N-W is

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Empty set

Infinite set

Singleton set

{0,∅}

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Rational

Irrational

Natural

Odd

For all points (x,y) in first quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

Range of cot x is ______

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[-1, 1]

R

Negative real numbers

R - {x | - 1 < x < 1}

In common logarithm the base is

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1

0

10

e

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The negation of a number

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a relation

a function

unary operation

binary operation

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The straight line passing through the focus and perpendicular to the directrix of the conic is known as its

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Tangent

axis

Focal chord

major or manor axis

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A complex number

A rational number

A natural number

An irrational number

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0

-1

1

not defined

The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

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0

1

-1

None

A non-terminating, non-recurring decimal represent

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A natural number

A rational number

An irrational number

A prime number

P∉ A means

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Pis subset of A

Pis an element of A

P does not belongs to A

A does not element of P

The set of natural numbers is a subset of

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{1, 2, 3, .... 100}

The set of whole numbers

{2, 4, 6, 8, .....}

None of these

An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is

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2 mn

1/2 mn

mn

mn²

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- cot 4x + c

cot 4x + c

tan 4x + c

- tan 4x + c

Range of cosec x is ______

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{-1, 1}

R

Negative real numbers

R - { x | - 1 < x < 1}

√11 is

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an irrational number

Rational number

odd number

Negative number

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360°

180°

90°

None of these

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π / 4

π / 6

π / 3

0

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Rational fraction

Proper fraction

Improper rational fraction

None of these

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