Question
Question: If line lx + my + n = 0 cuts the ellipse \(\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}}\)= 1 at points ...
If line lx + my + n = 0 cuts the ellipse a2x2+b2y2= 1 at points whose eccentric angle differ by 2π, then value of product of slopes of lines joining origin to these points is
A
Depends on l only
B
Depends on m only
C
Depends on n only
D
Independent of l, m, n
Answer
Independent of l, m, n
Explanation
Solution
Lines joining origin to such points are conjugate diameters & product of their slopes is a2−b2 which satisfy (4) option