Question # 1

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 graph of the parabola x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

The set of all points in the plane that are equally distant from a fixed point is called a / an:

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Circle

Circular cone

Ellipse

Point circle

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

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Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

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2

1

4

3

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

If y is an image of x under the function f, we denote it by:

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x = f(y)

x = y

y = f(x)

f(x, y) = c

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c

y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

None of these

x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

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

Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

For a square of side x units, the rate of change of area with respect to the side is given by:

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x

x²

2x

2

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

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Position vector of O

Position vector of P

Unit vector

Null vector

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

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

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Directrix

Vertex

Focus

Eccentricity

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0

1

e

Does not exist

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2 - 7

2 + 7

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2cosh x

2sinh x

2sinh (2x)

-2sinh (2x)

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