If `OA and OB` are two perpendicular chords of the circle `r = a cos theta + b sin theta` epassing through origin, then the locus of the mid point of `AB` is :

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 OA and OB are two equal chords of the circle x^(2)+y^(2)-2x+4y=0 perpendicular to each other and passing through the origin,the slopes of OA and OB are the roots of the equations

Find the perpendicular distance of line joining the points A(cos theta,sin theta)B(cos phi,sin phi) from the origin

Find locus of points given by x=a cos^(2)theta,y=b sin^(2)theta

If theta is parameter, A=(a cos theta,a sin theta) and B=(b sin theta,-b cos theta)C=(1,0) then the locus of the centroid of Delta ABC

The locus of the point (a(cos theta+sin theta),b(cos theta-sin theta)) where theta is the parameter is

Foot of the perpendicular from origin to the line joining the points (a cos theta,a sin theta),(a cos phi,a sin phi) is

The distance between the points (a cos theta+b sin theta,0) and (0,a sin theta-b cos theta)

If the coordinates of a variable point be (cos theta + sin theta, sin theta - cos theta) , where theta is the parameter, then the locus of P is