Question

The mid-point of the line segment joining points (1, 3) and (1, – 3) lies :

A field is in the form of a rectangle. The coordinates of the rectangular field ABCD are A(10, 10), B(40, 10), C(40, 50) and D(x, y). Anil and Anita, two friends decided to have a race. Anita started from point A and moved to point E along the diagonal AC, where E is the point of intersection of both the diagonals of ABCD. From point E, she moved to point B along the other diagonal DB and then moved back to point A along BA. While Anil started from point C and ran to point A via D along the boundary of the field.

If point (a, 2b) is the mid-point of the line segment joining the points (3, 5) and (–1, –1), then (a, b) is equal to :

The distance between the points (-6, 9) and (2, 7) is :