Two fixed points A and B are taken on the coordinates axes such that OA=a and OB =b. Two variable points A' and B' are taken on the same axes such that OA'+OB' = OA+OB. Find the locus of the point of intersection of AB' and A'B.

Two fixed points A and B are taken on the coordinates axes such that O A=a and O B=b . Two variable points A ' and B ' are taken on the same axes such that O A^(prime)+O B^(prime)=O A+O Bdot Find the locus of the point of intersection of A B^(prime) and A^(prime)Bdot

Two fixed point A and B are taken on the two axes such that OA=a, OB=b , two variable points C, D are taken on the same axes respectively, find the locus of the point of intersection of AD and CB if : 1/OC - 1/OD = 1/OA - 1/OB

A point P is taken on 'L' such that 2/(OP) = 1/(OA) +1/(OB) , then the locus of P is

The straight line x/a+y/b=1 cuts the axes in A and B and a line perpendicular to AB cuts the axes in P and Q. Find the locus of the point of intersection of AQ and BP .

OA and OB are two perpendicular straight lines. A straight line AB is drawn in such a manner that OA+OB=8 . Find the locus of the mid point of AB.

If A and B are two fixed points and P is a variable point such that PA + PB = 4 , the locus of P is

Given x/a+y/b=1 and ax + by =1 are two variable lines, 'a' and 'b' being the parameters connected by the relation a^2 + b^2 = ab . The locus of the point of intersection has the equation

A and B are two fixed points. The locus of a point P such that angleAPB is a right angle, is:

If AB=4 and the ends A, B move on the coordinate axes, the locus of the mid-point of AB

A variable line through the point (6/5, 6/5) cuts the coordinates axes in the point A and B . If the point P divides AB internally in the ratio 2:1 , show that the equation to the locus of P is :