Question # 1

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

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One variable

Three variable

Two variable

Four variable

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1

2

3

0

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60°

90°

30°

45°

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Unit Vector

Null vector

Position vector

None of these

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Open

Closed

Open as well as closed

None of these

The vertex of the parabola y² = -4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

Inclination of Y-axis or of any line parallel to Y-axis is:

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Zero

Undefined

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

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

The point of intersection of internal bisectors of the angles of a triangle is called:

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Centroid

Ortho-centers

Circums-center

In-center

The radius of circle x² + y² + ax + by + c = 0 is:

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None

Distance of the point (-3, 7) from x-axis is:

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3

-3

7

10

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Implicit

Explicit

Exponential

Logarithmic

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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

The system of _________ involved in the problem concerned is called problem constraints:

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Linear inequalities

Equations

Linear equalities

None of these

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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

If y = sin x then dy =

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cosy dx

cos x

cosx dx

cos xdy

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

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