Question # 1

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

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

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

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

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a > 0

a < 0

a = 0

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

X-coordinate of any point on Y-axis:

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0

x

y

1

The symbol | | is used for:

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:

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3x + 2y - 8 = 0

3x - 2y + 8 = 0

3x - 2y - 8 = 0

3x + 2y + 8 = 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

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

The distance of any point P (x, y) from the origin O(0 , 0) is given by:

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

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Centroid

Ortho-center

Circums-center

In-center

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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

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

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30°

45°

60°

90°

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

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Centroid

Ortho-center

Circums-center

In-center

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

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a > 0

a < 0

a = 0

Distance of the point (-2, 3) from y-axis is:

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-2

2

3

1

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

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y = 1

y = 0

y = -1

y = 2

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

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