Question # 1

The sum of the roots of the equation x2 -6x +2 = 0 is

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-6

2

-2

6

sin(π+θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

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sin[cot^-1{cos(tan^-1x)}]=

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3

1

2

4

The coefficient of xn in the expansion of (1-2x)-1 is

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(-1)n2n

2n

(-1)(n+1)xr

(n+1)2n

Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both (A) and (B)

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

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2,2,2

3,3,3

2,2,4

2,3,4

If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to

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12

9

6

3

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The multiplicative inverse of 1 - 2i is

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If n is any positive integer then n²> n + 3 for

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1/x

-x

2x

0.5 x

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The additive inverse of 1 is

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1

-1

0

Does not exist

∀a,b,c∈R and c>0,then

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a>b ⇒ ac < bc

a>b ⇒ ac > bc

a<b ⇒ ac > bc

None of these

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For all positive integral value of n,3ⁿ< n! , when

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n> 6

n< 6

n<11

n>11

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Parallel to the plane

At right angles to the plane

Lies in the plane

Meet the plane obliquely

The domain the function : f(x) = x² is given by

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R

Set of all non-negative Real numbers

R^-1

None of these

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

In R the number of identity elements w.r.t.'.' is

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One

Two

Three

Four

The A.M. of two numbers is 34 and G.M. is 16, the numbers are

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2 and 64

64 and 3

64 and 4

None of these

In R the left cancellation property w.r.t addition is

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Every relation, which can be represented by a linear equation in two variables, represents a

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Relation

Cartesian product

Function

Graph

The perimeter of a sector of a central angle of measure 1 radian out off an are of length 35cm is

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35 cm

70 cm

140 cm

105 cm

If the radius of a circle is increased by 1 then area of circle will be

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π r2

π(r+1)2

π r2 +1

2π (r+1)

The roots of ax2+bx+c=0 are

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Rational ⇔ b2 -4 ac ≥ 0

Irrational ⇔ b2-4 ac > 0

Real ⇔ b2-4 ac ≠ 0

Rational⇔ b2-4 ac = 0

The next term of the sequence 1, 2, 4, 7, 11, ..... is.

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15

16

17

18

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

The graph of a linear function is

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a circle

triangle

a straight line

none of these

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