Find the distance between `P(x_1,y_1) and Q(x_2,y_2)` when PQ is parallel to the y-axis.

Find the distance between P (x_1, y_1) and Q (x_2, y_2) when : (i) PQ is parallel to the y-axis, (ii) PQ is parallel to the x-axis.

Find the distance between parallel lines:- l(x+y)+p=0 and l(x+y) -r =0.

Area of the triangle with vertices (a, b), (x_1,y_1) and (x_2, y_2) where a, x_1,x_2 are in G.P. with common ratio r and b, y_1, y_2 , are in G.P with common ratio s, is

Find the distance between two Parallel lines : y=mx+c_1 and y=mx+c_2 .

Find the value of y for which the distance between the points P (2, -3) and Q (10, y) is 10 units.

Find the values of y for which the distance between the points P (2, - 3) and Q (10, y) is 10 units.

Find the point (s) on the curve y = {x(x-2)}^2 at which the tangent is parallel to x-axis.

Find the shortest distance between the lines x+1=2y=-12z and x=y+2=6z-6