Find the relation between x and y such that the point (x,y) is equidistant from the points (7,1) and (3,5)?

The point of intersection of the axes is called:

Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8,5) in the ratio 3:1 internally?

Match List I with List II

	List-I		List-II
A.		I.	$\pi r^2$
B.		II.	$\frac{1}{2} \times$ base $\times$ height
C.		III.	$\frac{1}{2} \times d_1 \times d_2$
D.		IV.	$\frac{1}{2} \times (a+b) \times h$

Choose the correct answer from the options given below:

Find the coordinates of the midpoints of the line segment joining A (3, 0) and B (-5, 4).

An angle is $\frac{3}{7}$ times its supplementary angles. Find the angle.

The values of y for which the distance between the points P(10, y) and Q(2, 2) is 10 unit.