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

Find the equation of tangent to the curves (x^2/9)+(y^2/16) = 1 which is parallel to x-axis.

Find the equations of the line intersecting the lines (x-a)/1=(y)/1=(z-a)/1 and (x-a)/2=y/1=(z+a)/2 and parallel to the line (x-a)/2=(y-a)/1=(z-2a)/2 .

The equation to the chord joining two points (x_1,y_1)a n d(x_2,y_2) on the rectangular hyperbola x y=c^2 is: x/(x_1+x_2)+y/(y_1+y_2)=1 x/(x_1-x_2)+y/(y_1-y_2)=1 x/(y_1+y_2)+y/(x_1+x_2)=1 (d) x/(y_1-y_2)+y/(x_1-x_2)=1

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