Question # 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

If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =

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(-3, 9)

(-3, 7)

(-9, 11)

(3, 7)

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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

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0

1

2

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

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Positive

Negative

Zero

undefined

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

A linear equation in two variables represents:

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Circle

Ellipse

Hyberbola

Straight line

If the inclination of the line l lies between ]0°, 90°[, then the slope of l is:

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Positive

Negative

Undefined

None of these

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 )

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

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Above

Below

On

None

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

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Centroid

Ortho-center

Circums-center

In-center

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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

The horizontal line x' ox is called:

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x-axis

y-axis

abscissa

ordinate

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

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

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

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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2 : 1

3 : 1

1 : 2

1 : 1

y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

None of these

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0

2

1

-1

The line y = c is above the x - axis, if:

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c > 0

c < 0

c = 0

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