Question # 1

The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:

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3x + 2y - 8 = 0

3x - 2y + 8 = 0

3x - 2y - 8 = 0

3x + 2y + 8 = 0

Zero vector is perpendicular to:

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Every vector

Unit vector only

Position vector only

Not any vector

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

If the upper limit is a constant and the lower limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

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Constant function

Absolute linear function

Linear function

Quadratic function

The line y = a is below the x-axis, if:

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a > 0

a < 0

a = 0

The coordinate axes divide the plane into------------ equal parts:

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1

2

3

4

If a pair of opposite sides of a quadrilateral are equal and parallel then it is:

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Rectangle

Rhombus

Parallelogram

None of these

i.(j.k) =

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Meaningless

-1

1

2

The operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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Adding

Subtracting

Multiplying

None of these

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a

b

c

a + b

The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

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0

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sinh x

cosh x

-sinh x

-cosh x

A linear equation in two variables represents:

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Circle

Ellipse

Hyberbola

Straight line

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

The opening of the parabola x² = 4ay is upward of the:

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x -axis

y = c

y - axis

x = y

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cosech x coth x

-cosech²x

-cosech x coth x

cosech²x

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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

Let f(x) = x² + 3, then domain of f is:

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Set of all integers

Set of natural numbers

Set of real numbers

Set of rational numbers

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