Question # 1

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

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

Equation of a line parallel to x-axis:

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x = 0

x = y

y = a

x = a

The symbol | | is used for:

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

The line y = a is below the x-axis, if:

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a > 0

a < 0

a = 0

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 horizontal line x' ox is called:

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x-axis

y-axis

abscissa

ordinate

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

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Trapezium

Rectangle

Rhombus

None of these

y-coordinate of any point on X-axis:

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0

x

y

1

x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

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

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0

1

2

Undefined

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

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)

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2

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

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

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

A linear equation in two variables represents:

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Circle

Ellipse

Hyberbola

Straight line

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 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

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

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y = 1

y = 0

y = -1

y = 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

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

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