Question # 1

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

Inclination of Y-axis or of any line parallel to Y-axis is:

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Zero

Undefined

cosh^-1x =

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x = 2 is a vertical line perpendicular to _____________:

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x - axis

x - axis may be

y - axis

None of these

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

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x -axis

y = c

y - axis

x = y

The ratio in which x-axis divides the line segment joining the points:

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1 : 1

1 : 3

1 : 5

1 : 2

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Scalar

Free vector

Unit vector

Null vector

A line which divides a plane into two parts is called:

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Boundary point

Boundary line

Feasible line

None

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0

2

1

-1

There are _______ feasible solutions in the feasible region:

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Finitely

Two

Infinitely many

Three

x = c is a line:

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Perpendicular to x-axis

Parallel to x-axis

Perpendicular to y-axis

None of these

X-coordinate of any point on Y-axis:

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0

x

y

1

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a

2b

b

2a

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sech x tanh x

-sech²x

-sech x tanh x

sech²x

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

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Parabola

Circular cone

Ellipse

Circle

Let f(x) = x², real valued function then domain of f is the set of all:

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Real numbers

Integers

Positive numbers

Natural numbers

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[0]

[0, 0]

[0, 0, 0]

None of these

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

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Volume of the tetrahedron

Volume of the parallelepiped

Volume of the triangle

None of these

If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is:

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x² = 4ay

-x²= 4ay

-y²= 4ax

y²= 4ax

If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

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1

2

7

-7

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