Question # 1

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

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

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

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

The ratio in which x-axis divides the line segment joining the points:

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1 : 1

1 : 3

1 : 5

1 : 2

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

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Above

Below

On

None

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

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Zero

Undefined

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)

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

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Positive

Negative

Zero

undefined

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

Equation of a line parallel to x-axis:

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x = 0

x = y

y = a

x = a

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

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0

1

-1

undefined

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

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Centroid

Ortho-center

Circums-center

In-center

Infinite number of lines can pass through:

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One point

Two points

Three points

Four points

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

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y = 0

y = -1

y = 1

x = 0

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2

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

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

A linear equation in two variables represents:

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Circle

Ellipse

Hyberbola

Straight line

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