Conic Sections Question 440

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

Options:

A) Parabola is a U-shaped curve where any point is at an equal distance from a fixed point called the focus and a fixed straight line called the directrix. It is the graph of a quadratic function and is symmetric about its axis of symmetry.

B) Ellipse is a closed curve with two foci, where the sum of the distances from any point on the curve to the two foci is constant.

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.



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