Equation of a Circle Touching a Given Line

Rarely Tested

Equation of a Circle Touching a Given Line

For a circle with centre $$(h,k)$$ and radius $$r$$, tangent to:

$$Ax+By+C=0$$

the condition is:

$$\frac{|Ah+Bk+C|}{\sqrt{A^2+B^2}}=r$$

Usage

- Used to determine unknown centre or radius when a circle is tangent to a given line.

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.