Prove that the length of perpendiculars from points `P(m^2,2m)Q(m n ,m+n)a n dR(n^2,2n)` to the line `x cos^2theta+ysinthetacostheta+sin^2theta=0` are in G.P.

Prove that the length of perpendiculars from points P(m^(2),2m)Q(mn,m+n) and R(n^(2),2n) to the line x cos^(2)theta+y sin theta cos theta+sin^(2)theta=0 are in G.P.

cos m theta-sin n theta=0

The lengths of the perpendiculars from the points (m^(2), 2m), (mn, m+n) and (n^(2), 2n) to the line x+sqrt3y+3=0 are in

The lengths of the perpendiculars from (m^(2),2m),(mn,m+n) and (n^(2),2n) to the straight line os x cos alpha+y sin a+sin alpha tan alpha=0 are in

If tan theta=(m)/(n) then (m sin theta+n cos theta)/(m sin theta-n cos theta) =

If m and n are length of the perpendicular from origin to the straight lines whose equations are x cot theta - y = 2 cos theta and 4x+3y=-sqrt(5)cos 2theta, (theta in (0, pi)) , respectively, then the value of m^(2)+5n^(2) is

If sin theta = (2m n)/(m^(2) + n^(2)) , find the value of (sin theta cot theta)/(cos theta)

Prove that sin^(2n)theta + cos^(2n)theta le 1 for all theta and n ge 1 .

What is the value of m^2 - n^2 , where m = tan theta + sin theta and n = tan theta - sin theta ?

What is the value of m^2-n^2 , where m= tan theta + sin theta and n = tan theta - sin theta ?