Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question
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Question

In the general equation of a circle x² + y² + 2gx + 2fy + c = 0, what is the formula for the radius r?
Options
A √(g² + f² - c)
Correct Answer
B √(g² + f² + c)
C g² + f² - c
D √(a² + b² - c)
Correct Answer

Option A is the correct answer.

Detailed Explanation

The radius is given by r = √(g² + f² - c). The notes also state it as √(a² + b² - c) where (a,b) is the centre, which is equivalent to √(g² + f² - c).

Hint

This is obtained from the relationship c = g² + f² - r².

Question Info

Course: MTH 101
Topic: Analytical Geometry - The Circle
Type: Objective
Difficulty: Not specified
Question 305 of 696
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