Question

If e₁ and e₂ are eccentricities of two conics s and s¹ such that $e _ { 1 } ^ { 2 } + e _ { 2 } ^ { 2 } = 3$ , then both s and s¹ are

• A. Parabola
• B. Ellipse
• C. Hyperbolas
• D. A parabola and an ellipse

Answer 1

Answer: (C)

Hyperbolas

Answer 2

Since $e _ { 1 } ^ { 2 } + e _ { 2 } ^ { 2 } = 3$

⇒ both the conics will never parabola and ellipse.

∴ The only possibility is both of them can be Hyperbolas.