Question # 1

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

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

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

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

If (x, y) are the coordinates of a point, then the first component of the ordered pair is called:

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Abscissa

Ordinate

Coordinate axes

None of these

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

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2

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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

y-coordinate of any point on X-axis:

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0

x

y

1

The line l is horizontal if and only if slope is equal to:

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0

1

2

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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

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

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4

2

1

The horizontal line x' ox is called:

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x-axis

y-axis

abscissa

ordinate

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

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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 vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

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

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Zero

Undefined

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