Question # 1

y - y1 = m ( x - x1) is the equation of straight line in:

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Slope-intercept from

Point-slope from

Normal form

Intercepts form

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2cosh x

2sinh x

2sinh (2x)

-2sinh (2x)

The term function was introduced by:

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Euler

Newton

Lagrange

Leibniz

x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

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Integration

Integrand

Constant of integration

None of these

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integration by parts

definite integral

Differentation

None of these

Point (5, 6) lies ..... the circle x² + y² = 81:

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Outside

Inside

On

None of these

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

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable

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

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cosec x + c

-cosec x + c

cot x + c

- cot x + c

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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

The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

Notation Df(x) for derivative was used by:

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Cauchy

Newton

Leibniz

Lagrange

Inclination of Y-axis or of any line parallel to Y-axis is:

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Zero

Undefined

The derivative of x with respect to y is given by:

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Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

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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

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

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

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