Question # 1

The value of the expression 3 cosθ+ 4 sinθθlie between

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-7 and 7

-25 and 25

-1 and 1

-5 and 5

Range of cotθis

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(+∞to -∞)

(-1 to +1)

(-5 to +5)

Set of even numbers only

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none of these

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

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11

61

1

For a square matrix A, if A = At, then A is called

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Matrix

Transpose

Symmetric

Non-symmetric

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sec 5x + c

- sec 5x + c

The set (Z, +) forms a group

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Forms a group w.r.t. addition

Non commutative group w.r.t. multiplication

Forms a group w.r.t multiplication

Doesn't form a group

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A complex number

A rational number

A natural number

An irrational number

The sum of all odd numbers between 100 and 200 is

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6200

7500

6500

3750

For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

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1/12

1/6

5/12

7/12

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The two lines y = 2x and x =2y are

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Parallel

Perpendicular

Equally inclined with axes

Congruent

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-1

0

1

Undefined

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None of these

The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

If a, b, c are in AP., a, b, c are in G.P. then A, m²b, c are in

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A.P.

G.P.

H.P.

None of these

(a,b) +(-a,-b) =

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(0,0)

(a,b)

(-a,-b)

(1,1)

the latus rectum of the parabola x³= -4ay is:

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x = a

y = -a

x = -a

y = 0

Vector i =

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[1,0]

[0,1,0]

[0,0,1]

None of these

The set of natural no. is closed under

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multiplication

subtraction

difference

division

The angle of elevation of the top of a tree from a point 17 meters from is foot is 42^𝜊The height of the tree is

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12m

21m

17m

15m

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A,. B, C are coincident

A, B, C are collinear

Both A and B

None of these

If distance between (a,2) and (0,0) is 2 then a = _______

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0

2

4

How many necklaces can be made from 6 beads of different colours?

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120

60

24

15

(a,0) x (c, 0) =

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(0,ac)

(ac, 0)

(0,0)

(a, c)

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0

1

-1

None of these

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