Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

Find the center and radius of the circle 4x² + 4y² - 4x - 12y + 1 = 0.
Options
A (1/2, 3/2), 3/2
Correct Answer
B (-1/2, -3/2), 2
C (1/2, 3/2), 2
D (-1/2, -3/2), 3/2
Correct Answer

Option A is the correct answer.

Detailed Explanation

Divide by 4: x² + y² - x - 3y + 1/4 = 0. Complete squares: (x² - x + 1/4) + (y² - 3y + 9/4) = -1/4 + 1/4 + 9/4 = 9/4. So (x - 1/2)² + (y - 3/2)² = 9/4 = (3/2)². Center = (1/2, 3/2), radius = 3/2.

Hint

Complete the square for both x and y terms.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 399 of 696
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