Question # 1

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

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

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

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 centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

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(-2, -2)

(-2, 2)

(2, -1)

(0, 0 )

x = c is a line:

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Perpendicular to x-axis

Parallel to x-axis

Perpendicular to y-axis

None of these

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4

2

1

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

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

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y = 1

y = 0

y = -1

y = 2

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

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

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|ax + by| = |-c|

[ax + by ] = [c]

[ax - by] = [-c]

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

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

Equation of a line parallel to x-axis:

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x = 0

x = y

y = a

x = a

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)

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

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

If the lien l is parallel to y-axis, then the slope of l is ----------------.

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0

1

-1

undefined

y = mx + c is the equation of straight line in:

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Slope-intercept form

Two points from

Point slope form

Intercepts form

The line x = a is on the right of y - 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)

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