Question # 1

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

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1

2

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

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

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Zero

Undefined

Equation of a line parallel to x-axis:

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x = 0

x = y

y = a

x = a

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

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y - y1 = m ( x - x1) is the equation of straight line in:

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Slope-intercept from

Point-slope from

Normal form

Intercepts form

Two non parallel lines intersect each other at:

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1 point

2 points

3 points

4 points

The point of intersection of the perpendicular bisectors of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

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

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1

-1

0

undefined

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2

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

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(-2, -2)

(-2, 2)

(2, -1)

(0, 0 )

The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

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0

1

2

3

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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2 : 1

3 : 1

1 : 2

1 : 1

y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

None of these

Infinite number of lines can pass through:

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One point

Two points

Three points

Four points

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

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

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0

1

2

undefined

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

ax + by + c = 0, will represent equation of straight line parallel y-axis if:

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a = 0

b = 0

c = 0

a = 0, c = 0

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