As shown in the figure below, the given line makes an angle of 30⁰ with the positive direction of y-axis in anticlockwise direction.

5

Find the slope of a line, which passes through the origin, and the midpoint of the line-segment joining and points A(0, -4) and B(8, 0).

6

Without using the Pythagoras theorem, show that the points(4, 4), (3,5) and (-1, -1) are the vertices of a right angled triangle.

8

Find the value of x for which the points(x, -1), (2, 1) and (4, 5) are collinear.

9

Without using distance formula, show that points(-2, -1), (4, 0), (3, 3) and (-3, 2) are the vertices of a parallelogram.