Question # 1

The symbol | | is used for:

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

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

x = c is a line:

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Perpendicular to x-axis

Parallel to x-axis

Perpendicular to y-axis

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

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

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

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

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y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

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

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

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

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a > 0

a < 0

a = 0

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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

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

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Positive

Negative

Zero

undefined

If (x, y) are the coordinate of a point ordered pair is called:

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Abscissa

Ordinate

Coordinate

Ordered pair

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

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y = 0

y = -1

y = 1

x = 0

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 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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4

2

1

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

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

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

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-1

1

3

-3

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