Find the distance between P(x₁, y₁) and Q(x₂, y₂) when (i) PQ is parallel to the y-axis. (ii) PQ is parallel to the x-axis.

1

Draw a quadrilateral in the cartesian plane, whose vertices are(-4,5)(0,7)(5,-5) and (-4,-2). Also find its area.

2

The base of an equilateral triangle with side 2a lies along the y-axis such that the midpoint of the base is at the origin. Find the vertices of triangle.

4

Find a point on the x-axis, which is equidistant from the points(7, 6) and (3,4).

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).