The locus of lhe point of intersection of the lines `x+4y=2a sin theta,x-y=a costheta` where `theta` is a variable parameter is

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.

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 :

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 :

If (alpha,beta) is a point of intersection of the lines x cos theta+y sin theta=3 and x sin theta-y cos theta=4 where theta is parameter,then maximum value of 2(a+beta)/(sqrt(2)) is

If (alpha, beta) is a point of intersection of the lines xcostheta +y sin theta= 3 and x sin theta-y cos theta= 4 where theta is parameter, then maximum value of 2^((alpha+beta)/(sqrt(2)) 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.

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)