Question # 1

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

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28

29

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

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-1

1

3

-3

A line that touches the curve without cutting through it is called:

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Straight line

Tangent line

Normal line

Vertical line

The general solution of differential equation of order n contains n arbitrary constants, which can be determined by ------------ initial value conditions.

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1

0

2

n

The distance between the points (1, 2), (2, 1).

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1

2

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sin x

-cos x

-sin x

cos x

Inverse hyperbolic functions are expressed in terms of natural:

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Numbers

Exponential

Logarithms

Sines

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

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Bounded

Exist

Unbounded

None of these

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

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

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1

2

3

4

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- cosec² x

cosec²x

- cosec x cot x

cosec x cot x

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

The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

The graph of the parabola x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

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sin x

cos x

-sin x

-cos x

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sec x tan x

sec²x

-sec x tan x

-sec²x

In the translation of axes which formula is true:

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x = X + h

X = x + h

x + X = h

None

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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