Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question
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Question

Find the radius of the circle 4x² + 4y² - 12x - 20y + 9 = 0.
Options
A √(5/2) units
B 5/2 units
Correct Answer
C 25/4 units
D 5 units
Correct Answer

Option B is the correct answer.

Detailed Explanation

From x² + y² - 3x - 5y + 9/4 = 0, we have g = -3/2, f = -5/2, and c = 9/4. Then r = √((-3/2)² + (-5/2)² - 9/4) = √(9/4 + 25/4 - 9/4) = √(25/4) = 5/2 units.

Hint

After dividing by 4, find g, f, and c, then use the radius formula r = √(g² + f² - c).

Question Info

Course: MTH 101
Topic: Analytical Geometry - The Circle
Type: Objective
Difficulty: Not specified
Question 309 of 696
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