Question # 1

y-coordinate of any point on X-axis:

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0

x

y

1

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 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 distance between the points (1, 2), (2, 1).

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1

2

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

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Centroid

Ortho-center

Circums-center

In-center

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

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

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Zero

Undefined

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

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

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h² < ab

h²> ab

h²= ab

None of these

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

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0

1

2

3

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 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

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

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Centroid

Ortho-centers

Circums-center

In-center

ax + by + c = 0 has matrix from as:

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|ax + by| = |-c|

[ax + by ] = [c]

[ax - by] = [-c]

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

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y = 0

y = -1

y = 1

x = 0

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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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

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