Question # 1

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1

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

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One variable

Three variable

Two variable

Four variable

The ratio in which x-axis divides the line segment joining the points:

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1 : 1

1 : 3

1 : 5

1 : 2

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

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Left

Upward

Right

Downward

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

If the lower limit is a constant and the upper limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:

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3x + 2y - 8 = 0

3x - 2y + 8 = 0

3x - 2y - 8 = 0

3x + 2y + 8 = 0

The instantaneous rate of change of y with respect to x is given by:

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Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

cosh^-1x =

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-4 < y < 4 is the solution of the following:

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y = 5

y = 3

y = -4

y = 4

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

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(-2, -2)

(-2, 2)

(2, -1)

(0, 0 )

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

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

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The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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[0]

[0, 0]

[0, 0, 0]

None of these

x = 3 cos t, y = 3 sin t represent

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Line

Circle

Parabola

Hyperbola

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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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