Question # 1

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

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cosech x coth x

-cosech²x

-cosech x coth x

cosech²x

A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:

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4 cm

3cm

2.5cm

3.4cm

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

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x = a

x = -a

y = a

y = -a

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0

The point of intersection of the altitudes of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

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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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x | + c

ln |cosec x + cot x | + c

A scalar quantity is one that possesses only :

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Magnitude

Direction

Both a and b

None of these

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Scalar

Free vector

Unit vector

Null vector

The linear function f(x) = ax + b is an identity function if:

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a = 0, b = 1

a = 1, b = 0

a = 1, b = 1

a = 0, b = 1

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

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Undefined

3a²

a²

0

The line y = c is above the x - axis, if:

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c > 0

c < 0

c = 0

Point p (-5, 6) lies ............ the circle x² + y² + 4x - 6y - 12 = 0

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Outside

Inside

On

None of these

The point where the axis meets the parabola is called ________ of the parabola:

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Directrix

Vertex

Focus

Eccentricity

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A point of a solution region where two of its boundary lines intersects is called a __________ point of the solution region:

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Maximum

Corner

Minimum

None of these

y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

None of these

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

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