Question # 1

y = b is a horizontal line perpendicular to ________:

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x - axis

y - axis may be

y - axis

None of these

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

The equ. of directrix of the parabola y² = -4ax is:

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x = a

x = - a

y = a

y = -a

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

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

The ordered pair _____ is a solution of the inequality x + 2y < 6.

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(3, 3)

(1, 1)

(4, 4)

(5, 5)

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

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0

1

2

undefined

If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

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e^ax

f(x)

e^axf(x)

e^{ax + f(x)}

The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

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x + y + 7 = 0

x - y + 7 = 0

y - x + 7 = 0

None of these

Which are the following triples can be direction angles of a single vector:

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45°,45°,60°

30°,45°,60°

45°,60°,60°

30°,30°,30°

A parallelogram is a rhombus if and only if its diagonals are:

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Parallel

Perpendicular

Equal

None of these

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

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

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Constant

Implicit

Explicit

Inverse

If any two vectors of scalar triple product are equal, then its value is equal to:

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0

1

-1

2

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

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Integration

Integrand

Constant of integration

None of these

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The vertex of the parabola y² = -4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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

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Outside

Inside

On

None of these

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