Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question

Question

What is the formula for the equation of the tangent to the circle x² + y² = a² at the point (x₁, y₁)?
Options
A xx₁ - yy₁ = a²
B x + x₁ + y + y₁ = a²
C xx₁ + yy₁ = a²
Correct Answer
D x/x₁ + y/y₁ = a²
Correct Answer

Option C is the correct answer.

Detailed Explanation

For the circle x² + y² = a², the equation of the tangent at the point (x₁, y₁) on the circle is given as xx₁ + yy₁ = a².

Hint

It is a simple transformation where x² becomes xx₁ and y² becomes yy₁.

Question Info