Question # 1

The ratio in which x-axis divides the line segment joining the points:

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1 : 1

1 : 3

1 : 5

1 : 2

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

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 symbol | | is used for:

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Parallel lines

Perpendicular lines

Non-parallel lines

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

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

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30°

45°

60°

90°

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

The point (5, 8) lies the line 2x - 3y + 6 = 0

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Above

Below

On

None

A linear equation in two variables represents:

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Circle

Ellipse

Hyberbola

Straight line

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

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a - b = 0

a + b = 0

a + b > 0

a - b < 0

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

Two non parallel lines intersect each other at:

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1 point

2 points

3 points

4 points

The line x = a is on the right of y - axis if:

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a > 0

a < 0

a = 0

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)

If the directed distances AP and PB have the opposite signs, i.e; p is beyond AB, then their ratio is negative and P is said to divide AB:

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Internally

May divide

Externally

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 point of intersection of internal bisectors of the angles of a triangle is called:

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Centroid

Ortho-centers

Circums-center

In-center

The line y = c is above the x - axis, if:

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c > 0

c < 0

c = 0

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

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

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

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Zero

Undefined

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