Question Detail

MTH 101 MTH 101 Past Questions Objective Question
Take CBT

Question

Find the center and radius of the circle x² + y² + 8x - 10y + 5 = 0.
Options
A (4, -5), 19
B (4, 5), 36
C (-4, 5), 36
D (-4, 5), 6
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Complete squares: (x² + 8x + 16) + (y² - 10y + 25) = -5 + 16 + 25 = 36. So (x+4)² + (y-5)² = 36 = 6². Center = (-4, 5), radius = 6.

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 407 of 696
Previous Course Details Next