Question # 1

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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2 : 1

3 : 1

1 : 2

1 : 1

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y-coordinate of any point on X-axis:

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0

x

y

1

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0

2

3

1

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Parabola

Hyperbola

Ellipse

Circle

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

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30°

45°

60°

90°

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1

2

3

0

Let f(x) = x², then range of f is the set of all:

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Real numbers

Non-negative real numbers

Non-negative integers

Complex numbers

The line l is horizontal if and only if slope is equal to:

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0

1

2

undefined

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

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Outside

Inside

On

None of these

Every relation, which can be represented by a linear equation in two variables, represents a:

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Graph

Function

Cartesian product

Relation

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Lagrange

Newtown

Leibniz

Cauchy

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f(x)

ln |f(x)|

f'(x)

ln |f'(x)|

The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

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0

1

2

3

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

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Unit vector

Null vector

Free vector

None of these

The feasible region is ________ if it can easily by enclosed within a circle.

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Bounded

Exist

Unbounded

None of these

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cos x + c

- cos x + c

sin x + c

-sin x + c

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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