The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is

(a)

0 sq. units

(b)

25 sq. units

(c)

5 sq. units

(d)

none of these

A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is

(a)

x = 10

(b)

y = 10

(c)

x = 0

(d)

y = 0

The straight line given by the equation x = 11 is

(a)

parallel to X axis

(b)

parallel to Y axis

(c)

passing through the origin

(d)

passing through the point (0,11)

If slope of the line PQ is \(\frac { 1 }{ \sqrt { 3 } } \) then slope of the perpendicular bisector of PQ is

(a)

\(\sqrt { 3 } \)

(b)

\(-\sqrt { 3 } \)

(c)

\(\frac { 1 }{ \sqrt { 3 } } \)

(d)

0

The equation of a line passing through the origin and perpendicular to the line 7x - 3y + 4 = 0 is

(a)

7x - 3y + 4 = 0

(b)

3x - 7y + 4 = 0

(c)

3x + 7y = 0

(d)

7x - 3y = 0

A straight line has equation 8y = 4x + 21. Which of the following is true

(a)

The slope is 0.5 and the y intercept is 2.6

(b)

The slope is 5 and the y intercept is 1.6

(c)

The slope is 0.5 and the y intercept is 1.6

(d)

The slope is 5 and the y intercept is 2.6

Find the area of the quadrilateral formed by the points (8, 6), (5, 11), (-5, 12) and (-4, 3).

Calculate the slope and y intercept of the straight line 8x − 7y + 6 = 0

Find the equation of a straight line passing through (5, - 3) and (7, - 4).

Show that the points (-2, 5), (6, -1) and (2, 2) are collinear

Prove analytically that the line segment joining the mid-points of two sides of a triangle is parallel to the third side and is equal to half of its length.

In each of the following, Find the value of ‘a’ for which the given points are collinear. (2, 3), (4, a) and (6, –3)