Question:medium

If the line \(lx + my + n = 0\) cuts the ellipse \(\frac{x^2}{a^2} + \frac{y^2}{25} = 1\) in points whose eccentric angles differ by \(\frac{\pi}{2}\), then \(\frac{a^2 l^2 + b^2 m^2}{n^2}\) is equal to

Show Hint

Use parametric form of ellipse and orthogonal condition.
Updated On: Apr 23, 2026
  • 1
  • 2
  • 4
  • \(\frac{3}{2}\)
Show Solution

The Correct Option is B

Solution and Explanation

Was this answer helpful?
0

Top Questions on Complex Numbers and Quadratic Equations

Questions Asked in MET exam