Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question

Question

What is the equation of a circle with radius 6 units and centre at the origin?
Options
A x² + y² = 6
B x² + y² - 36 = 0
Correct Answer
C x² + y² + 36 = 0
D x² + y² = 12
Correct Answer

Option B is the correct answer.

Detailed Explanation

For a circle centred at the origin, the equation is x² + y² = r². With r = 6, this is x² + y² = 36, which can also be written as x² + y² - 36 = 0.

Hint

The equation for a circle centred at the origin is x² + y² = r².

Question Info