Question # 1

If | x | < 1, then the first two terms of (1 - x)^1/2are

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Every real number is

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a positive integer

a rational number

a negative integer

a complex number

If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is

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0

2

1

5

The roots of (x - a)(x - b) = ab x2 are always

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Real

Depends upon a

Depends upon b

Depends upon a and b

Range of 3 cot x is ______

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[-1, 1]

[-3, 3]

R

None of these

θ and 2kπ+θ are the ________ angles

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Quadrantal angles

Coterminal

Allied

None

Derivative of sin x w.r.t. sin x is

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0

1

sin x

cos x

i² =

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1

2

-1

0

There are ______ types of rational fraction

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Three

Four

Five

Two

The roots of ax2 + bx + c = 0 are always unequal if

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b2 - 4ac = 0

b2- 4ac ≠ 0

b2- 4ac > 0

b2- 4ac ≥ 0

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0

1

If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

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2

4

6

8

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

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(5, 3, 1)

(4, 3, 2)

(5, 5, 1)

(6, 4, 1)

tan270° =__________;

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0

1

-1

Undefined

(2, 1) is in the solution of the inequality

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2x + y > 7

x - y > 2

3x + 5y < 6

2x + y < 6

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

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none of these

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

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Orthogonal

Collinear

Perpendicular

None of these

Number of terms in the expansion of (a+x)ⁿis

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n - 1

n + 1

n + 2

n + 3

A triangle has ____ elements

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3

4

5

6

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

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A onto B

both a & c

A into B

none of these

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None of these

For trival solution |A| is

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A

|A| = 0

A = 0

|A|≠ 0

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

The three consecutive numbers a,√ab,b are in

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G.P

H.P

G.M

None of these

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0

1

undefined

What is the conjugate of -7 -2i?

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-7 + 2i

7 + 2i

7 -2i

None of these

In (x + iy), y is called as

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Imaginary part

Complex number

Real part

None of above

The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

The 26th term of the A.P -2,-4,10,.............is

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136

-136

148

-148

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