Question # 1

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

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x with respect to y

y with respect to y

y with respect to x

x with respect to x

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

The equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

If the equation of the parabola is x² = 4ay, then opening of the parabola is to _______ of the x-axis:

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Left

Upward

Right

Downward

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1 (1 - 4)

2x - 3

x - 3

x³ - 3x

General form of equation of line is:

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ax - by + c = 0

ax + by - c = 0

ax + by + c = 0

ax - by - c = 0

The graph of the parabola x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

The cross product or vector product of two vectors is defined:

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Only in plane

Only in space

Both a and b

None of these

The focus of the parabola y²=4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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

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Parallel

Perpendicular

Equal

None of these

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0

1

e

Does not exist

y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

None of these

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

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Open

Closed

Open as well as closed

None of these

x² + y² = 4 is:

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Function

Not a function

Ellipse

Line

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

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Constant

Implicit

Explicit

Inverse

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x| + c

ln |cosec x + cot x | + c

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

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Volume of the tetrahedron

Volume of the parallelepiped

Volume of the triangle

None of these

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