Question # 1

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

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x = a

x = -a

y = a

y = -a

Non-vertical lines divide the plane into___________half plane:

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Upper and lower

Many

Left and Right

None of these

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

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I and II

III and IV

II and III

I and III

An integral of 3x² is:

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x³+c

3

6x

x^2+c

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Unit vector

Null vector

Free vector

None of these

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

If y = sin x then dy =

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cosy dx

cos x

cosx dx

cos xdy

y = 2x + 3 is the;

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Slope-intercept form

Two points form

Point slope form

Intercepts form

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

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If f(x) = cos x then f'(0) is equal to:

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0

-1

1

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Common logarithmic

Natural logarthmic

Exponential

None of these

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

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1

2

3

4

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0

-1

1

2

The axis of the parabola y² = 4ax is:

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x = 0

x = a

y = 0

y = a

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60°

90°

30°

45°

A null vector is defined as a vector whose magnitude is:

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1

2

0

None of these

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Integration

Integrand

Constant of integration

None of these

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

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x-axis

x = 1

y-axis

x = 0

Which one is an identity function ?

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f(x) = g(x)

f (x) = x

f(x) = 1

The line x = a is on the right of y - axis if:

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a > 0

a < 0

a = 0

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