Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question
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Question

Given a circle with centre (3, -2) and radius 4, what is its parametric equation for x?
Options
A x = 3 + 4 cos θ
B x = -3 + 4 cos θ
Correct Answer
C x = 3 - 4 cos θ
D x = 2 + 4 sin θ
Correct Answer

Option B is the correct answer.

Detailed Explanation

Using x = -g + r cos θ, with centre (3, -2) meaning -g = 3, so g = -3, and r=4. Substituting gives x = -(-3) + 4 cos θ, which simplifies to x = -3 + 4 cos θ.

Hint

The centre (3, -2) means -g = 3, so g = -3. Use the formula x = -g + r cos θ.

Question Info

Course: MTH 101
Topic: Analytical Geometry - The Circle
Type: Objective
Difficulty: Not specified
Question 324 of 696
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