Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question
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Question

A quadratic equation in x and y represents a circle if which of the following conditions is true?
Options
A The coefficients of x² and y² are equal and an xy term is present.
B The coefficients of x² and y² are different and no xy term is present.
C The coefficients of x² and y² are equal and there is no xy term.
Correct Answer
D The equation is of first degree.
Correct Answer

Option C is the correct answer.

Detailed Explanation

For a second-degree equation to represent a circle, the coefficients of x² and y² must be equal, and the equation must not contain an xy term (or any quotient of x and y).

Hint

Think about the conditions that define a circle's general equation.

Question Info

Course: MTH 101
Topic: Analytical Geometry - The Circle
Type: Objective
Difficulty: Not specified
Question 307 of 696
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