If the area of the triangle formed by the vertices A(-1, 2), B(k, -2) and C(7, 4) (taken in order) is 22 sq. units, find the value of k.

Find the area of the triangle formed by the points (1, –1), (–4, 6) and (–3, –5)

Determine whether the sets of points are collinear? \((-\frac12 ,3)\), (- 5, 6) and (-8, 8)

Vertices of given triangles are taken in order and their areas are provided aside. In each case, find the value of ‘p’?

S. No	Vertices	Area (sq. units)
(i)	(0, 0), (p, 8), (6, 2)	20
(ii)	(p, p), (5, 6), (5, -2)	32

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

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

What is the slope of a line whose inclination with positive direction of x - axis is 90⁰

What is the inclination of a line whose slope is 0

Find the slope of a line joining the points \(\left( 5,\sqrt { 5 } \right) \) with the origin

The line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24) . Find the value of x.