Question # 1

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0

-1

1

2

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sech x tanh x

-sech²x

-sech x tanh x

sech²x

y-coordinate of any point on X-axis:

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0

x

y

1

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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

y = 2x + 3 is the;

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Slope-intercept form

Two points form

Point slope form

Intercepts form

If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

A chord passing through the focus of a parabola is called a ________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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x = a

x = 2

x = 0

None

If a = 0, then the line ax + by + c = 0 is parallel to:

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y - axis

x - axis

along y - axis

None of these

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0

4

7

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

The horizontal line x' ox is called:

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x-axis

y-axis

abscissa

ordinate

An angle in a semi-circle is:

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0°

90°

180°

60°

x² + y² = 4 is:

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Function

Not a function

Ellipse

Line

If f(x) = |x|, f(x) is a:

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Constant function

Absolute function

Linear function

Quadratic function

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

Non-vertical lines divide the plane into___________half plane:

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Upper and lower

Many

Left and Right

None of these

The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.

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Differentiation

Integration

Differential

None of these

Gottfried Whilhelm Leibniz was a (an) ----- mathematician:

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German

English

Swiss

French

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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