Question # 1

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cos 2x

2 cos 2x

2 sin2x

-2 cos2x

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6x - 2 + c

x³- x²+ x + c

6x - x²+ c

6x³- x²+ c

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1

2

3

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Less then 1

Equal to 1

Greater than 1 but less then 2

Greater then or equal to 2

The synthetic division method is only used to divide a polynomial by

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quadratic equation

binomial

linear equation

monomial

General solution of tan 5θ= cot 2θis

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In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if

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a≠ b,h≠0

a=b

h≠0

h=0

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

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- cot 4x + c

cot 4x + c

tan 4x + c

- tan 4x + c

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 formula an = arn-1represents

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nth term of G.P

Sum of the first n terms

G.M between a and b

None of these

If origin is the mid point of (a, -3) and (-5, b) then

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a = -5 , b = -3

a = 5 , b =3

a = -5 , b = 3

a = 5 , b = -3

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The law of cosines reduces to a2 +c2 =b2 for

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α = 90°

β = 90°

γ = 90°

α +β +γ =180°

If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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A function F(x) is called even if

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F(x) = F (-x)

F(x) = F(-x)

F(x) = -F(x)

2F(x) = 0

Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

w⁴= ______

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0

1

w

w²

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The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

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If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

The different of tan x is

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sec2 x

ln |sec x|

sec2 xdx

-cos ec2 x

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

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0

2

4

7

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An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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