Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question
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Question

What is the standard equation of a circle with centre (a, b) and radius r?
Options
A x² + y² = r²
B (x + a)² + (y + b)² = r²
C (x - a)² + (y - b)² = r²
Correct Answer
D x² + y² + 2gx + 2fy + c = 0
Correct Answer

Option C is the correct answer.

Detailed Explanation

The standard equation, derived from the distance formula, is (x - a)² + (y - b)² = r², where (a,b) is the centre and r is the radius.

Hint

It is derived from the distance formula between the centre (a, b) and a point (x, y) on the circle.

Question Info

Course: MTH 101
Topic: Analytical Geometry - The Circle
Type: Objective
Difficulty: Not specified
Question 299 of 696
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