Find the condition so that the lines `xcosalpha+ysinalpha=p,xcosbeta+ysinbeta=qandy=xtantheta` be concurrent.

If xcosalpha+ysinalpha=xcosbeta+ysinbeta=2a then cosalpha cosbeta=

If xcosalpha+ysinalpha=xcosbeta+ysinbeta=2a then cosalpha cosbeta=

Find the locus of the mid-point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes.

Find the locus of the mid-point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes.

Prove that the area of the parallelogram formed by the lines xcosalpha+ysinalpha=p ,xcosalpha+ys inalpha=q ,xcosbeta+ysinbeta=ra n dx cosbeta+ysinbeta=si s+-(p-q)(r-s)cos e c(alpha-beta)dot

Find the locus of the middle point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes, given that p remains constant.

Find the locus of the middle point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes, given that p remains constant.

Find the locus of the middle point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes, given that p remains constant.

The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 may subtend a right angle at the center of the circle is _

The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 may subtend a right angle at the center of the circle is