Question # 1

Area between x-axis and the curve:

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32

16

The graph of the parabola x² = -4ay lies in quadrants:

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I and II

III and IV

II and III

I and III

The line l is horizontal if and only if slope is equal to:

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0

1

2

undefined

The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

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x + y + 7 = 0

x - y + 7 = 0

y - x + 7 = 0

None of these

A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

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First

Third

Second

Fourth

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sinh x

cosh x

-sinh x

-cosh x

The graph of the parabola y² = -4ax lies in quadrants:

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I and II

III and IV

II and III

I and III

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

If the lien l is parallel to y-axis, then the slope of l is ----------------.

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0

1

-1

undefined

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

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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

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x-axis

y = x

y-axis

None of these

f(x) = sin x + cos x is ------------ function:

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Even

Odd

Composite

Neither even nor odd function

The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

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integration by parts

definite integral

Differentation

None of these

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1 (1 - 4)

2x - 3

x - 3

x³ - 3x

The equation of the latus-rectum of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = -a

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

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Parabola

Circular cone

Ellipse

Circle

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0

1

-1

2

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

The opening of the parabola y² = 4ax is to the ________ of the:

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Left

Upward

Right

Downward

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x = 0

y = -a

y = 0

y = -a

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