Question # 1

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0

1

e

Does not exist

Parametric equations x = a cos t, y = a sin t represent the equation of:

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Line

Circle

Parabola

Ellipse

f (x) = x secx, then f(0)=

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-1

0

1

In the case of rotation of axes which formula is true:

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f(x) is odd function. If and only if:

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f(-x) = -f(x)

f(-x) = f(x)

f(x) = 3f(-x)

f(x) = -3f(-x)

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x = a

x = 2

x = 0

None

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0

2

3

1

A chord containing the center of the circle is called ______ of the circle:

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Diameter

Chord

Radius

None of these

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

In equation of circle, coefficient of each of x² and y² are:

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Not equal

Opposite in signs

Equal

None of these

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

The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.

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Differentiation

Integration

Differential

None of these

If the inclination of a line lies between ]90°, 180°[, then the slope of line is :

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Positive

Negative

Zero

undefined

The point of intersection of the perpendicular bisectors of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

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

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

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0.1204

.12

.02

1.2

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

Distance of the point (-2, 3) from y-axis is:

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-2

2

3

1

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0

1

-1

2

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