Conic Sections Question 4

Question: Curve $ 16x^{2}+8xy+y^{2}-74x-78y+212=0 $ 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. The standard form of a parabola is y = ax² + bx + c, where a, b, and c are constants.

B) Hyperbola

C) 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.

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \Delta \ne 0,h^{2}=4ab $ i.e., parabola.



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