If p and q are the lengths of perpendicular from the origin to the lines x cos theta- y - Maths - Straight Lines

Question

If p and q are the lengths of perpendicular from the origin to
the lines
x cos theta- y sin theta = k cos 2 theta , and xsec theta + y cosec
theta = k respectively, prove thatp^2 + 4q^2 = k^2

A K Daya Sir · Accepted Answer

Use distance of point from line formula

If p and q are the lengths of perpendicular from the origin to the lines.x cos theta- y sin theta = k cos 2 theta , and xsec theta + y cosec theta = k respectively, prove thatp^2 + 4q^2 = k^2

If p and q are the lengths of perpendicular from the origin to the lines.
x cos theta- y sin theta = k cos 2 theta , and xsec theta + y cosec theta = k respectively, prove thatp^2 + 4q^2 = k^2