Prove that the product of the length of the perpendiculars from the points `(sqrt(a^2 -b^2) , 0) and (-sqrt(a^2 -b^2), 0)` to the line `x/a cos theta + y/a cos theta + y/b sin theta = 1` is

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^2-b^2),""""0) and (-sqrt(a^2-b^2),""""0) to the line x/a costheta + y/b sintheta=1 is b^2 .

Show that the product of the perpendiculars from the points (+-sqrt(a^(2)-b^(2)),0) to the line (x)/(a)cos theta+(y)/(b)sun theta=1 is equal to b^(2)

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.

If p and p_1 be the lengths of the perpendiculars drawn from the origin upon the straight lines x sin theta + y cos theta = 1/2 a sin 2 theta and x cos theta - y sin theta = a cos 2 theta , prove that 4p^2 + p^2_1 = a^2 .

x=b sin^(2)theta & y=a cos^(2)theta

If sqrt(a + b) tan = theta/2 = sqrt(a -b) tan phi/2 then prove that a + b cos phi = (a cos phi+ b) sec theta .

If sin theta+cos theta=sqrt(2) and b=(sqrt(2)(sin theta+cos theta))/(sin theta cos theta), then 'b'is equal to