Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question
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Question

Which of the following equations does NOT represent a circle?
Options
A x² + y² - 3x + 4y - 2 = 0
B 2x² + 2y² + 2x + y = 1
C 2x² + y² + 2x - 3y = 2
Correct Answer
D 3x² + 3y² - 2y = 0
Correct Answer

Option C is the correct answer.

Detailed Explanation

The equation 2x² + y² + 2x - 3y = 2 does not represent a circle because the coefficients of x² (which is 2) and y² (which is 1) are not equal. This violates a necessary condition for a circle.

Hint

Check the conditions for a circle: coefficients of x² and y² must be equal, and there must be no xy term.

Question Info

Course: MTH 101
Topic: Analytical Geometry - The Circle
Type: Objective
Difficulty: Not specified
Question 306 of 696
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