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

X-coordinate of any point on Y-axis:

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0

x

y

1

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

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Constant

Explicit

Implicit

Inverse

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

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4

2

1

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1

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

Two vectors are equal if they:

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Pass through the same point

Are parallel to each other

Are parallel to each other and have same direction

Have equal magnitude and have same direction

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a cosec (ax + b)

cot (ax + b)

x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

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The small change in the value ofx, positive or negative is called the -------- of x.

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Increment

Differential

Derivative

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

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

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

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

The set of all points in the plane that are equally distant from a fixed point is called a / an:

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Circle

Circular cone

Ellipse

Point circle

The function y = ln x is a/an -------------- function of x.

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Constant

Explicit

Exponential

Logarithmic

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable

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0

A null vector is defined as a vector whose magnitude is:

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1

2

0

None of these

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