Question # 1

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

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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x - axis

z - axis

y - axis

None of these

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cosec x + c

-cosec x + c

cot x + c

- cot x + c

The equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

Two non parallel lines intersect each other at:

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1 point

2 points

3 points

4 points

Gottfried Whilhelm Leibniz was a (an) ----- mathematician:

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German

English

Swiss

French

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

Which one is an identity function ?

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f(x) = g(x)

f (x) = x

f(x) = 1

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

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sin x

cos x

-sin x

-cos x

x = c is a line:

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Perpendicular to x-axis

Parallel to x-axis

Perpendicular to y-axis

None of these

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a

2b

b

2a

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

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0

1

-1

2

If 2 and 2 are x and y-components of a vector, then its angle with x-axis is:

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30°

45°

60°

90°

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cosech x coth x

-cosech²x

-cosech x coth x

cosech²x

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0

4

7

Equation of a line parallel to x-axis:

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x = 0

x = y

y = a

x = a

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1

2

3

0

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