Conic Sections Question 440

Question: The equation $ 13[{{(x-1)}^{2}}+{{(y-2)}^{2}}]=3{{(2x+3y-2)}^{2}} $ represents

Options:

A) Parabola

B) Ellipse

C) Hyperbola

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Here coefficient of $ x^{2} $ is +ve and that of $ y^{2} $ is -ve i.e., a hyperbola.