Question # 1

The distance of any point P (x, y) from the origin O(0 , 0) is given by:

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One variable

Three variable

Two variable

Four variable

f (x) = x secx, then f(0)=

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-1

0

1

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0

-1

1

2

The graph of linear equation of the form ax + by = c is a line, which divides the plane into ______ disjoint regions, where a, b and c are constants and a, b are not both zero.

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One

Two

Thre

None of these

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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[0]

[0, 0]

[0, 0, 0]

None of these

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Continuous at x = 1

Not continuous at x = 1

Both a and b

none

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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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3

4

5

6

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

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30°

45°

60°

90°

A scalar quantity is one that possesses only :

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Magnitude

Direction

Both a and b

None of these

If the directed distances AP and PB have the opposite signs, i.e; p is beyond AB, then their ratio is negative and P is said to divide AB:

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Internally

May divide

Externally

None of these

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At

Not on

On

None of these

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

If y = (x), then the variable x is called --------- variable of a function f.

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Dependent

Independent

Image of y

None of these

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integration by parts

definite integral

Differentation

None of these

A chord passing through the focus of a parabola is called a ________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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5 sin x

cosh (5x)

5 cosh (5x)

-5 cosh (5x)

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

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