Question # 1

Angle between the lines x + y + 1 = 0 & x - y + 4 = 0 is:

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30°

45°

60°

90°

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

None of these

If the inclination of the line l lies between ]0°, 90°[, then the slope of l is:

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Positive

Negative

Undefined

None of these

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

y = mx + c is the equation of straight line in:

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Slope-intercept form

Two points from

Point slope form

Intercepts form

If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =

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(-3, 9)

(-3, 7)

(-9, 11)

(3, 7)

Infinite number of lines can pass through:

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One point

Two points

Three points

Four points

If a pair of opposite sides of a quadrilateral are equal and parallel then it is:

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Rectangle

Rhombus

Parallelogram

None of these

The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

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x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

For any point (x, y) and y - axis:

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y = 0

y = -1

y = 1

x = 0

Distance of the point (-2, 3) from y-axis is:

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-2

2

3

1

The distance between the points (1, 2), (2, 1).

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1

2

If a straight line is perpendicular to y-axis, then its slope is:

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1

-1

0

undefined

If a straight line is perpendicular to x-axis, then its slope is:

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0

1

2

Undefined

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

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h² < ab

h²> ab

h²= ab

None of these

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

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

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Zero

Undefined

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0

2

1

-1

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