Question # 1

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

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Parallel

Perpendicular

Equal

None of these

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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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x| + c

ln |cosec x + cot x | + c

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2 - 7

2 + 7

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Constant

Implicit

Identity

Inverse

y = b is a horizontal line perpendicular to ________:

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x - axis

y - axis may be

y - axis

None of these

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 of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

A line through a point say P perpendicular to the tangent to the curve at P is called:

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Straight line

Tangent line

Normal line

None of these

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f(x)

ln |f(x)|

f'(x)

ln |f'(x)|

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

The radius of circle x² + y² + 2gx + 2fy + c = 0 is:

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x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

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Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

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2

1

4

3

y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

None of these

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

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y = b is a horizontal line parallel to _________:

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x - axis

x - axis may be

y - axis

None of these

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

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