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`

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 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

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 .

Two tangents to the parabola y^2=4ax make supplementary angles with the x-axis. Then the locus of their point of intersection 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

If A(1, 1) and B (-2, 3) are two fixed points, find the locus of a point P so that area of DeltaPAB is 9 units.

Two tangents to the parabola y^2 = 4ax make angles theta_1,theta_2 with the x-axis. Then the locus of their point of intersection if cot theta_1 + cot theta_2=c is

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

In the figure, OA and OB are two uniformly charged wires, placed along x and y axis respectively. Find the unit vector in the direction of field at point (0,0,sqrt(3L)) .

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.