Question # 1

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

X-coordinate of any point on Y-axis:

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0

x

y

1

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

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0

1

2

3

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

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1

-1

0

undefined

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

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y = 0

y = -1

y = 1

x = 0

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

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

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1

2

3

4

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

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Zero

Undefined

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

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(1, 0)

(0, 1)

(-1, 0)

(0, -1)

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

In the translation of axes which formula is true:

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x = X + h

X = x + h

x + X = h

None

If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

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1

2

7

-7

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

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

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Parallel

Perpendicular

Equal

None of these

A linear equation in two variables represents:

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Circle

Ellipse

Hyberbola

Straight line

Two non parallel lines intersect each other at:

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1 point

2 points

3 points

4 points

Equation of the line parallel to x + 3y - 9 = 0 is:

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3x - y - 9 = 0

3x + 9y + 7 = 0

2x - 6y - 18 = 0

x - 3y + 9 = 0

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)

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

A quadrilateral having two parallels and two non-parallel sides is called:

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Trapezium

Rectangle

Rhombus

None of these

The point of intersection of the medians of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

If a = 0, then the line ax + by + c = 0 is parallel to:

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y - axis

x - axis

along y - axis

None of these

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