Review question

# Can we find the two circles that satisfy these three conditions? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8419

## Question

Find the equations of the two circles which each satisfy the following conditions:

1. the axis of $x$ is a tangent to the circle,

2. the centre of the circle lies on the line $2y = x$,

3. the point $(14,2)$ lies on the circle.

Prove that the line $3y = 4x$ is a common tangent to these circles.