" If the pair of lines given by "(x^(2)+y^(2))sin^(2)alpha=(x cos alpha-y sin alpha)^(2)" are perpendicular to each "

If the pair of lines given by (x^2+y^2)sin^2alpha=(xcosalpha-ysinalpha)^2 are perpendicular to each other then alpha =

If the pair of lines given by (x^2+y^2)sin^2alpha=(xcosalpha-ysinalpha)^2 are perpendicular to each other then alpha =

The angle between the pair of lines (x^(2)+y^(2))sin^(2)alpha=(x cos theta-y sin theta)^(2);is

If the lines represented by sin^(2)alpha(x^(2)+y^(2))=((cosalpha)x-(sinalpha)y)^(2) are perpendicular to each other, then 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 .

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