Question # 1

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x = 3

x = 1/5

x = 0

None of these

A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

The magnitude of vector a=i-3j+5k is:

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3

√35

√17

√35

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The third term of the sequence a_n= (-1)^n-1(n-7) is ______

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8

4

-4

8

The general solution of tan 3x = 1 is

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What is the circular measure of the angle between the hands of a watch at 4 O'clock

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direction ratios

direction cosines

direction angles

none of these

The domain of the principle sine function is

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are real no

both are not real

are imaginary no

both are imaginary

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

The period of 3 sin x is

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2π

9π

3π

5π

The additive inverse of 2/3 is

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3/2

-2/3

-3/2

0

The equation of the directrix of the parabola x²= 4ay is

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x + a = 0

x - a = 0

y + a = 0

y - a = 0

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

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(3, 2)

(2, 3)

(1, 8)

(0, 3)

For any integer k, wⁿ= ______ when n = 3k

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1

2

0

-4

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real number

complex number

rational number

irrational number

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A onto B

both a & c

A into B

none of these

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

(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

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If ax + bx + c =0 is satisfied by every value of x,then

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b = 0,c = 0

c = 0

b = 0

a = b = c = 0

tan270° =__________;

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0

1

-1

Undefined

The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is

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x^-2+ c

not possible

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The period of cos(7x-5) is

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π/7

7π/2

π/2

2π/7

The 8th term of (1+2x) ^-1/2is

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-221/16 x⁷

-225/18 x⁷

-407/9 x³

-429/16 x⁷

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