Question # 1

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

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1,1/3,1/5,1/7,1/9..... is a

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geometric sequence

finite sequence

infinite sequence

arithmetic series

Cos (α+β) - cos (α-β) =

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-2 sinα sinβ

2 sinαcosβ

-2 sinαcosα

4 sinα cosβ

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Less then 1

Equal to 1

Greater than 1 but less then 2

Greater then or equal to 2

If x,y are two -ve distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

A polynomial of arbitrary degree

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f(x) = o

f(x) = x

f(x) = a

f(x) = ax + b,a ≠ 0

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a

2a

3a

4a

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1

-1

-1/2

1/2

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3

1

4

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

Range of cosec x is ______

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{-1, 1}

R

Negative real numbers

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

If all members of a sequence are real numbers then it is called

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A.P

Real Sequence

G.P

None of these

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Square matrix

Row matrix

Symmetric matrix

Null matrix

If p and q are two statements then their biconditional 'p if q' is denoted by

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Name the property used in 4 + 9 = 9 + 4

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Associative property of addition

Commutative property of addition

Distributive property

Additive identity

Sine is a periodic function and its period is ______

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π

s

2π

4π

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x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

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x - y = -6

x - y < -6

x - y > -6

None

The distance between the points (0 , 0) and (2, 1) is

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5

0

3

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

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Domain of y = scs x is

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All real numbers except π/2 + n*π

R

All negative integers

None of these

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none of these

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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cos 315° = ______

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If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

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1 x 1

1 x 10

10 x 10

10 x 1

The point of concurrency of the angle bisectors of a triangle is called

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incentre

circumcentre

e-centre

centroid

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