Question # 1

The slope of the normal at the point (at², 2at) of the parabola y²= 4ax is

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1/t

t

-t

-1/t

If y=sin(ax+b) then y4=________:

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sin4(ax+b)

a4sin(ax+b)

a4cos(ax+b)

None of these

The condition for ax2 + bx c to be expressed as the product of linear polynomials is

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b4 - 4ac =0

b4- 4ac ≥0

b4- 4ac <0

b4= 4ac

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0

1

-A

-1

The order axioms are satisfied by set of

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C

C and R

R

None of these

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In(x²- x + 1)⁴+ c

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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 f (x) = |x|, then (0,0) is the

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Critical point

Inflection point

Stationary point

None of these

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a cosec(ax + b) + c

- a cosec(ax + b) + c

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A

B

A'B'

B'A

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

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f (x) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit function

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range of f

domain of f

both (a) and (b)

none of these

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none of these

The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is

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A parabola

A circle

An ellipse

A st. line

If a set S contains n elements then P (S) has ........ number of elements

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2ⁿ

2ⁿ²

2.n

n²

If the sum of even coefficients in the expansion of (1+x)n is 128 then

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n=7

n=9

n=8

None

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

The mid point of the line segment joining the points (4,0) and (0,4) is

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(4,4)

(2,2)

(-4,-4)

(-2,-2)

The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

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

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Circle

Hyperbola

Ellipse

parabola

30° = ______

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

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straight line

half plane

parabola

none of these

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∫sin(ax+b) dx is equal to:

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1/2a cos (ax + b)

-1/a cos (ax +b)

1/a cos (ax +b)

1/a ln (ax + b)

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