Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question
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Question

What is the formula for the equation of the normal to the circle x² + y² + 2gx + 2fy + c = 0 at the point (x₁, y₁)?
Options
A y(x₁ + g) + x(y₁ + f) + fx₁ + gy₁ = 0
B y(x₁ + g) - x(y₁ + f) + fx₁ - gy₁ = 0
Correct Answer
C x(x₁ + g) - y(y₁ + f) + gx₁ - fy₁ = 0
D y(x₁ - g) - x(y₁ - f) + fx₁ - gy₁ = 0
Correct Answer

Option B is the correct answer.

Detailed Explanation

The equation of the normal to the general circle x² + y² + 2gx + 2fy + c = 0 at (x₁, y₁) is given by y(x₁ + g) - x(y₁ + f) + fx₁ - gy₁ = 0.

Hint

This formula is provided in the notes for the normal to the general equation.

Question Info

Course: MTH 101
Topic: Analytical Geometry - The Circle
Type: Objective
Difficulty: Not specified
Question 318 of 696
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