Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question
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Question

What does the equation of a circle become if its centre is at the origin (0,0)?
Options
A (x - a)² + (y - b)² = r²
B x² + y² + 2gx + 2fy + c = 0
C x² + y² = r²
Correct Answer
D ax² + by² = r²
Correct Answer

Option C is the correct answer.

Detailed Explanation

When the centre is at the origin, a = 0 and b = 0, so the standard equation (x - a)² + (y - b)² = r² simplifies to x² + y² = r².

Hint

Substitute a=0 and b=0 into the standard equation.

Question Info

Course: MTH 101
Topic: Analytical Geometry - The Circle
Type: Objective
Difficulty: Not specified
Question 300 of 696
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