Question # 1

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4

2

1

The curves obtained by cutting a __________ double right circular cone by a _______ are called conics:

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Straight line

Plane

Curve

None of these

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

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5 sin x

cosh (5x)

5 cosh (5x)

-5 cosh (5x)

The distance of any point P (x, y) from the origin O(0 , 0) is given by:

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The feasible region is ________ if it can easily by enclosed within a circle.

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Bounded

Exist

Unbounded

None of these

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

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Independent variable

Not function

Function

None of these

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

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(1, 0)

(0, 1)

(-1, 0)

(0, -1)

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

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

If a straight line is perpendicular to y-axis, then its slope is:

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1

-1

0

undefined

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Position vector

Null vector

Unit vector

None of these

The center of circle x² + y² + 2gx + 2fy + c = 0 is:

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

Area between x-axis and the curve:

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32

16

The area A of a circle as a function of its circumference C is:

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

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x² = 4ay

-x²= 4ay

-y²= 4ax

y²= 4ax

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[0]

[0, 0]

[0, 0, 0]

None of these

The line y = c is above the x - axis, if:

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c > 0

c < 0

c = 0

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f(x)

ln |f(x)|

f'(x)

ln |f'(x)|

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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0

2

1

-1

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