The locus of the points of intersection of the lines `x cos theta+y sin theta=a ` and `x sin theta-y cos theta=b`, (`theta=` variable) is :

Prove that for all values of theta ,the locus of the point of intersection of the lines x cos theta+y sin theta=a and x sin theta-y cos theta=b is a circle.

Show that the locus of the point of inter section of the lines x cos theta +y sin theta =a, x sin theta -y cos theta = b, theta is a parameter is a circle.

If x cos theta + y sin theta = a , x sin theta - y cos theta = b then

Whatever be the values of theta , prove that the locus of a point of intersection of the lines x cos theta + y sin theta = a and x sin theta - y cos theta = b is a circle.

Locus of point of intersection of the lines x sin theta-y cos theta=0 and ax sec theta-by cos ec theta=a^(2)-b^(2)

Locus of point of intersection of the lines x sin theta-y cos theta=0 and ax sec theta-by cos ec theta=a^(2)-b^(2)

The locus of the point of intersection of the lines x sin theta+(1-cos theta)y=a sin theta and x sin theta -(1+cos theta )y+a sin theta =0 is

Locus of point of intersection of the lines x sin theta-y cos theta=0 and ax sec theta-by "cosec"theta=a^(2)-b^(2) is