Question # 1

Parametric equations x = a cos t, y = a sin t represent the equation of:

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Line

Circle

Parabola

Ellipse

If a pair of opposite sides of a quadrilateral are equal and parallel then it is:

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Rectangle

Rhombus

Parallelogram

None of these

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

The ratio in which x-axis divides the line segment joining the points:

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1 : 1

1 : 3

1 : 5

1 : 2

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The vertex of the parabola x² = -4ay is:

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(a, 0)

(0, 0)

(0, -a)

(0, a)

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The symbol | | is used for:

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

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28

29

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tan x + c

-tan x + c

sec x + c

-sec x + c

Let f(x) = x³ + sin x, then f(x) is:

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Even function

Odd function

Power function

None of these

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

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a

b

c

a + b

The point where the axis meets the parabola is called ________ of the parabola:

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Directrix

Vertex

Focus

Eccentricity

If y = sin x then dy =

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cosy dx

cos x

cosx dx

cos xdy

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies outside the circle only if:

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|CP| < r

|CP| = r

|CP| > r

None of these

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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