Conic Sections Question 428

Question: The equation $ 14x^{2}-4xy+11y^{2}-44x-58y+71=0 $ represents

[BIT Ranchi 1986]

Options:

A) A circle

B) An ellipse

C) A hyperbola

D) A rectangular hyperbola

Show Answer

Answer:

Correct Answer: B

Solution:

Check $ \Delta \ne 0 $ and $ h^{2}<ab $ .