Question # 1

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

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|ax + by| = |-c|

[ax + by ] = [c]

[ax - by] = [-c]

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

If a straight line is perpendicular to y-axis, then its slope is:

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1

-1

0

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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 = 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 equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

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x + y + 7 = 0

x - y + 7 = 0

y - x + 7 = 0

None of these

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

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

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y = 0

y = -1

y = 1

x = 0

The horizontal line x' ox is called:

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x-axis

y-axis

abscissa

ordinate

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)

A parallelogram is a rhombus if and only if its diagonals are:

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Parallel

Perpendicular

Equal

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

A quadrilateral having two parallels and two non-parallel sides is called:

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Trapezium

Rectangle

Rhombus

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 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

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

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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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 point (5, 8) lies the line 2x - 3y + 6 = 0

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Above

Below

On

None

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