Question # 1

The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

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Line

Parabola

Ellipse

Hybperbola

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

The linear function f(x) = ax + b is an identity function if:

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a = 0, b = 1

a = 1, b = 0

a = 1, b = 1

a = 0, b = 1

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2cosh x

2sinh x

2sinh (2x)

-2sinh (2x)

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tan x

cot x

- tan x

- cot x

The graph of the the parabola x² = 4ay lies in quadrant:

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I and II

III and IV

II and III

I and III

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

ax + by + c = 0, will represent equation of straight line parallel y-axis if:

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a = 0

b = 0

c = 0

a = 0, c = 0

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

The equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

The line y = a is below the x-axis, if:

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a > 0

a < 0

a = 0

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

The symbol | | is used for:

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

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-1

1

3

-3

If any two vectors of scalar triple product are equal, then its value is equal to:

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0

1

-1

2

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x| + c

ln |cosec x + cot x | + c

The feasible region is ________ if it can easily by enclosed within a circle.

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Bounded

Exist

Unbounded

None of these

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

There are _______ ordered pairs that satisfy the inequality ax + by > c.

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Finitely many

Two

Infinitely many

Four

The radius of circle x² + y² + 2gx + 2fy + c = 0 is:

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