Question # 1

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cosech x coth x

-cosech²x

-cosech x coth x

cosech²x

Let f(x) = x², then range of f is the set of all:

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Real numbers

Non-negative real numbers

Non-negative integers

Complex numbers

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

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A pair of lines

Circle

Ellipse

Hyperbola

The region of the graph ax + by > c is called ______ half plane:

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Open

Boundary of

Closed

None of these

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

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x = a

x = -a

y = a

y = -a

Distance of the point (-2, 3) from y-axis is:

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-2

2

3

1

If s is the distance traveled by a body at time t, the velocity is given by the expression:

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e^ax

f(x)

e^axf(x)

e^{ax + f(x)}

The graph of the parabola y²= -4ax is symmetric about:

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x-axis

y = x

y-axis

None of these

The law of parallelogram of addition was used by Aristotle to describe the combined action of :

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One force

Two forces

Three forces

Four forces

The focus of the parabola y²=4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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domain

range

lower limit

upper limit

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tan x

cot x

- tan x

- cot x

A line segment whose end points lie on the circle is called a __________ of the circle.

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Radius

Chord

Diameter

None of these

In equation of circle, coefficient of each of x² and y² are:

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Not equal

Opposite in signs

Equal

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

Infinite number of lines can pass through:

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One point

Two points

Three points

Four points

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

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Line

Circle

Parabola

Ellipse

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

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

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1

2

3

4

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