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Question 440002
JEE Mathematics · Medium

Coordinate Geometry Mixed Practice: Conic sections MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Conic sectionsMediumQuestion 440002

Question

The equation 2x² + 2y² − 8x + 4y + 1 = 0 represents:
  1. A
    A circle (coefficients of x² and y² equal)
    Correct
  2. B
    An ellipse
  3. C
    A parabola
  4. D
    A hyperbola

Correct answer

A circle (coefficients of x² and y² equal)

Explanation

When x² and y² have equal positive coefficients and no xy term, the conic is a circle. Dividing by 2: x² + y² − 4x + 2y + 1/2 = 0, a circle.

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