Question # 1

If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =

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(-3, 9)

(-3, 7)

(-9, 11)

(3, 7)

If the radius of a circle is zero, then the circle is called a / an:

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Circle

Circular cone

Ellipse

Point circle

y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

None of these

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

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Zero

Undefined

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0

2

3

1

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

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2

1

4

3

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R

R - {2}

R - {2, -2}

R - {-2}

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tan x + c

-tan x + c

sec x + c

-sec x + c

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equal to each other

not equal to each other

nearly equal to each other

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

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

Distance of the point (-3, 7) from x-axis is:

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3

-3

7

10

The distance between the center of a circle and any point of the circle is called:

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Tangents

Secant

Diameter

Radius

x² + y² = 4 is:

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Function

Not a function

Ellipse

Line

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Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

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Parabola

Hyperbola

Ellipse

Circle

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Integration

Integration w.r.t.x.

Differentiation

Differentiation w.r.t.x

For a square of side x units, the rate of change of area with respect to the side is given by:

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x

x²

2x

2

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

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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