Question # 1

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

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Parallel

Perpendicular

Equal

None of these

y-coordinate of any point on X-axis:

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0

x

y

1

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

Distance of the point (-3, 7) from x-axis is:

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3

-3

7

10

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

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30°

45°

60°

90°

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

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

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

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Above

Below

On

None

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

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

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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

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

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Zero

Undefined

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

If the directed distances AP and PB have same signs, then their ratio is positive and P is said to divide AB:

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Internally

May be divide

Externally

None of these

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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

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y = 1

y = 0

y = -1

y = 2

The centroid of a triangle is a point that divides each median in the ratio:

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2 : 1

2 : 3

1 : 3

4 : 3

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

If the inclination of a line lies between ]90°, 180°[, then the slope of line is :

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Positive

Negative

Zero

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The point (2, 5) lies the lie 3x - y + 1 = 0

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Above

Below

On

None

Two non parallel lines intersect each other at:

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1 point

2 points

3 points

4 points

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

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