Question # 1

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

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2x + y > 8

2x + y < 6

2x - y > 1

2x + 3y < 2

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-cosec²x

-sec²x

- cosec x cot x

cosec x

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8

4

64

The solution of equation x2 + 2 = 0 in the set of real number is

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Infinite set

Singleton set

Null set

None of these

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-2x cos x²

-2x²sin x²

-x²sin x

-2x²sin x²

The solution set of the inequality ax + by < c is

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straight line

half plane

parabola

none of these

The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is

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x+ y+ 1= 0

x+ y- 2= 0

x+ y+ 2= 0

2x +y +2 =0

A function f is said to be an even if f(-x) =

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0

1

f(x)

-f(x)

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ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

If eccentricity of ellipse becomes zero then it takes the form of

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A parabola

A circle

A straight line

None of these

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

Ifθ= 60° then

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sinθ= 1/2

tanθ= cot 30°

θ=π/4

secθ= 4

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The additive inverse of 1 is

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1

-1

0

Does not exist

A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

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

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0

1

sin x

cos x

If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is

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0

±1

±5

±7

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

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32

31

64

1024

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

cos 315° = ______

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The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet

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x =0

y =0

x =-9

y = -a

cos (α-β) = cosαcosβ+ sinαsinβis true for all

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α>β> 0

α>β

β>α

None of these

An improper rational fraction can be reduced by division to a

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Proper fraction

Polynomial

mixed form

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0

undefined

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1

2

3/2

5/2

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