Prove that for all values of `theta` , the locus of the point of intersection of the lines `xcostheta+ysintheta=a` and `xsintheta-ycostheta=b` is a circle.

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 pt of intersection of the st.lines xcostheta+ysintheta=a and xsintheta-ycostheta=b is a circle.

The locus of the point of intersection of the lines axsectheta+bytantheta=a and axtantheta+bysectheta=b 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 :

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 :

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.

If theta is a variable and a is contant , then find the locus of the point of intersection of the lines xcostheta+ysintheta=aand xsintheta-ycostheta=a .

The locus of the point of intersection of the lines ax sec theta+by tan theta=a and ax tan theta+by sec theta=b is

For different values of theta, the locus of the point of intersection of the straight lines x sin theta-y(cos theta-1)=a sin theta and x sin theta-y(cos theta+1)+a sin theta=0 represents