If `p&q ` are lengths of perpendicular from the origin `x sin alpha + y cos alpha = a sin alphacos alpha` and `x cos alpha-y sin alpha = acos 2alpha,` then `4p^2 + q^2`

If x sin ^3 alpha + y cos^3 alpha = sin alpha cos alpha and x sin alpha - y cos alpha =0 , then x^2 +y^2 is

If x=a sin alpha+b cos alpha and y=a cos alpha-b sin alpha then remove alpha

If p and q are the lengths of the perpendiculars from the origin to the straight lines x sec alpha+y cosec alpha=a and x cos alpha-y sin alpha=a cos 2alpha, prove that 4p^(2)+q^(2)=a^(2)

Find the length of perpendicular from the point (a cos alpha, a sin alpha) to the line x cos alpha+y sin alpha=p .

Find the length of perpendicular from the point (a cos alpha, a sin alpha) to the line x cos alpha+y sin alpha=p .

If x sin ^ (3) alpha + y cos ^ (3) alpha = sin alpha cos alpha and x sin alpha-y cos alpha = 0 then x ^ (2) + y ^ (2) =

If p and q are the lengths of the perpendiculars from the origin to the straight lines x "sec" alpha + y " cosec" alpha = a " and " x "cos" alpha-y " sin" alpha = a "cos" 2alpha, " then prove that 4p^(2) + q^(2) = a^(2).