Question # 1

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

If -1 < x < 0, which of the following statements must be true?

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x < x²< x³

x < x³< x²

x²< x³< x

x²< x < x³

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

The term involving x⁴ in the expansion (3-2x) is

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217x⁴

15120x⁴

313x⁴

-25x⁴

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3

1

2

4

A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

The√ is used for the

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Positive square root

Negative square root

+ve and -ve square root

Whole number

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0

1

2

none of these

The fifth term of the sequence a_n= 2n + 3 is ______

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13

-13

8

3

5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

n!/(n-1)!=

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n

n!

(n-1)!

0!

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Express the perimeter P of square as a function of its area A?

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P = 4√A

P =√A

P = 2A

P =π√A

There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?

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z

x

y

x and y

Sine is a periodic function and its period is ______

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π

s

2π

4π

Name the property used in 100 + 0 = 100

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Additive inverse

Multiplicative inverse

Additive identity

Multiplicative identity

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i¹⁰¹=

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i

i²

-i

-1

The angles of elevation of the top of a tower at the top and the foot of a pole of height 10 m are 30° and 60° respectively. The height of the tower is

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10 m

15 m

20 m

None of these

The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is

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x²+ y²+ z²+ ax + by + cz = 0

x²+ y²+ z²- 2ax - 2 by - 2 cz = 0

x²+ y²+ z²= a + b + c

x²+ y²+ z²- ax - by - cz =0

A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called

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A proper fraction

An improper fraction

An equation

An identity

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

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1

0

The domain of the principle sine function is

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I quadrant

II quadrant

III quadrant

IV quadrant

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parallel vectors

perpendicular vectors

concurrent vectors

collinear vectors

In quadratic equation f(x) = ax²,if a >0, then the graph of parabola

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Opens up

Opens down

close up

symmetric w.r.t.x.axis

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