Question # 1

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Always negative

Zero

Always positive

Infinity

If cos^-1p + cos^-1q + cos^-1r =πthen p²+ q²+ r²+ 2pqr is equal to

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3

1

2

-1

The exponent of x in 10th term in the expansion of (a+x)n

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10

12

11

9

(a-1)-1 =

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a-1

a

-a

None of above

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Associative property of addition

Commutative property of addition

Distributive property

Additive identity

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Rational

Irrational

Even

Odd

w¹⁵= ______

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0

1

w

w²

What is the conjugate of -7 -2i ?

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-7 + 2i

7 +2i

7 -2i

√53

The square matrix A is skew-symmetric when At =

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-B

-C

-A

-D

Range of sec x is ______

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[-1, 1]

R

Negative real numbers

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

The distance of a moving particle at any instant t is x = 3t2 +1 then velocity of particle at t = 10 is

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50 cm/sec

60 cm/sec

61 cm/sec

None of these

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

Roots of the equation x²- 7x + 10 = 0 are

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{2, 5}

{-2, 5}

{2,5}

{-2,-5}

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

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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

The sum of all odd numbers between 100 and 200 is

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6200

7500

6500

3750

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The standard parabolic form of the equation f(x) = x² +4 x +1 is

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x(x+4)+1

(x+2)²-3

(x+4)³ + 9

x(x-2)²+1

If f(x) = x³- 2x²+ 4x -1 then f(2) is

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7

-16

16

-9

The vertex of the equation y² = 4ax is:

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(2, -2)

(1,1)

(0 , 0)

(2 , 2)

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The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

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Cos 2x = sin 4y

Cos 4y = cos 2x

Cos 3y = sin 4x

None of these

A sequence is a function whose domain is

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N

Subset of N

R

None of these

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The maximum value of sinθcosθis

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1

1/2

1/4

1/6

If the expansion of (1 + x)²⁰, then co-efficient of rth ad (r + 4)th term are equal, then r is

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7

8

9

10

Which of the following is a scalar

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weight

force

speed

momentum

{0} is a

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Empty set

Singleton set

Zero set

Null Set

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