Question # 1

y = b is a horizontal line perpendicular to ________:

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x - axis

y - axis may be

y - axis

None of these

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

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Complex

Rational

Real

None of these

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Two imaginary tangents can be drawn to a circle from any point P(x₁, y₁) _______ the circle:

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Inside

On

Outside

None of these

y = b is a horizontal line parallel to _________:

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x - axis

x - axis may be

y - axis

None of these

cosh^-1x =

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Notation Df(x) for derivative was used by:

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Cauchy

Newton

Leibniz

Lagrange

Which are the following triples can be direction angles of a single vector:

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45°,45°,60°

30°,45°,60°

45°,60°,60°

30°,30°,30°

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sin x

cos x

-sin x

-cos x

The ordered pair _____ is a solution of the inequality x + 2y < 6.

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(3, 3)

(1, 1)

(4, 4)

(5, 5)

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

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x-axis

y = x

y-axis

None of these

The technique or method to find such a function whose derivative is given involves the inverse process of differentiation called:

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Differentiation

Integration

Differential

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 point of intersection of internal bisectors of the angles of a triangle is called:

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Centroid

Ortho-centers

Circums-center

In-center

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1 (1 - 4)

2x - 3

x - 3

x³ - 3x

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-cosec x cotx

cosec² x

-cosec²x

cosec x cotx

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Constant

Implicit

Identity

Inverse

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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

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Directrix

Vertex

Focus

Eccentricity

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

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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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