[" 13.Show that the equation of the straight line "x cos alpha+y" s "],[" can be expressed in the following form: "],[qquad (x-p cos alpha)/(-sin alpha)=(y-p sin alpha)/(cos alpha)=r]

Show that the equation of the straight line x cos alpha+y sin alpha=p can be expressed in the following form (x-p cos alpha)/(-sin alpha)=(y-psi n alpha)/(cos alpha)=r

Show that the equation of the straight line xcosalpha+ysinalpha=p can be expressed in the following form: (x-pcosalpha)/(-sinalpha)=(y-p sin alpha)/(cosalpha)=r

Reduce the equation of the line x cos alpha+y sin alpha-p=0 into intercepts form

Show that the image of the point (h,k) with respect to the striaight line x cos alpha+ y sin alpha=p is the point (2 p cos alpha- h cos2 alpha- k sin 2 alpha, 2p sin alpha- h sin 2 alpha- k cos 2 alpha) .

The locus of the intersection point of x cos alpha+y sin alpha=a and x sin alpha-y cos alpha=b is

Show that the equation of a line passing through the point (a cos^(3)alpha,a sin^(3)alpha) and perpendicular to the line x sec alpha+y cos ec alpha=a is x cos alpha-sin alpha=a cos2 alpha

Prove that the equation of a line passes through the point (a cos^(3)alpha , a sin^(3)alpha ) and perpendicular to the line x tan alpha+y=a sin alpha is x cos alpha-y sin alpha-a cos 2 alpha .

Prove that the equation of a line passes through the point (a cos^(3)alpha , a sin^(3)alpha ) and perpendicular to the line x tan alpha+y=a sin alpha is x cos alpha-y sin alpha-a cos 2 alpha .

The angle made by the straight line x cos alpha + y sin alpha = p with the negative direction of x - axis is _