Question # 1

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

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x = 0

x = a

y = 0

y = a

The coordinate axes divide the plane into------------ equal parts:

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1

2

3

4

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

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sec x tan x

sec²x

-sec x tan x

-sec²x

A quadrilateral having two parallels and two non-parallel sides is called:

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Trapezium

Rectangle

Rhombus

None of these

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

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

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x = a

x = 0

y = a

y = 0

The radius of circle x² + y² + ax + by + c = 0 is:

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None

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle

The graph of 2x + y < 2 is the open half plane which is ________ the origin side of 2x + y = 2:

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At

Not an

On

None of these

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1

2

3

0

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

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

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Line

Circle

Parabola

Ellipse

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Integration

Integrand

Constant of integration

None of these

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sech x tanh x

-sech²x

-sech x tanh x

sech²x

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[0]

[0, 0]

[0, 0, 0]

None of these

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If the equation of the parabola is x² = 4ay, then opening of the parabola is to _______ of the x-axis:

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Left

Upward

Right

Downward

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Lagrange

Newtown

Leibniz

Cauchy

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

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(1, 0)

(0, 1)

(-1, 0)

(0, -1)

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