Question # 1

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

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Outside

Inside

On

None of these

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies outside the circle only if:

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|CP| < r

|CP| = r

|CP| > r

None of these

Which one is not an exponential function ?

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4, -4

0

2, -2

0, 4

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0

1

-1

2

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

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0

1

e

Does not exist

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x = 0

y = -a

y = 0

y = -a

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Unit Vector

Null vector

Position vector

None of these

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

Angle between the lines x + y + 1 = 0 & x - y + 4 = 0 is:

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30°

45°

60°

90°

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 area A of a circle as a function of its circumference C is:

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0

1

-1

2

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0

2

1

-1

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

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sech x tanh x

-sech x tanhx

sech² x

-sech²x

For any point (x, y) and y - axis:

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y = 0

y = -1

y = 1

x = 0

If any two vectors of scalar triple product are equal, then its value is equal to:

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0

1

-1

2

The focus of the parabola y²=4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

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