The equation of the locus of the point of intersection of the straight lines `xsintheta+(1-costheta)y=asintheta` and `xsintheta-(1-costheta)y+asintheta=0` is

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

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

For all values of theta , the locus of the point of intersection of the lines xcostheta+ysintheta=a and xsintheta-ycostheta=b is

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

Find the locus of the mid points of the portion of the lines xsintheta+y costheta=p intercepted between the axes.