Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question
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Question

Find the equation of the circle with centre (-3,2) and radius 4.
Options
A x² + y² - 6x + 4y - 3 = 0
B x² + y² + 6x - 4y - 3 = 0
Correct Answer
C x² + y² + 6x - 4y + 3 = 0
D x² + y² - 6x + 4y + 3 = 0
Correct Answer

Option B is the correct answer.

Detailed Explanation

Substituting a=-3, b=2, r=4 gives (x+3)² + (y-2)² = 16. Expanding leads to x² + 6x + 9 + y² - 4y + 4 = 16, which simplifies to x² + y² + 6x - 4y - 3 = 0.

Hint

Use the formula (x - a)² + (y - b)² = r² with a = -3, b = 2, r = 4 and expand.

Question Info

Course: MTH 101
Topic: Analytical Geometry - The Circle
Type: Objective
Difficulty: Not specified
Question 301 of 696
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