Review question

# Where do this pair of tangents to a circle meet? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7171

## Question

The straight line $x = 3$ intersects the circle $x^2 + y^2 - 8x - 10y - 9 = 0$ at the points $P$ and $Q$.

Calculate

1. the coordinates of $P$ and $Q$,
2. the equations of the tangents at $P$ and $Q$,
3. the coordinates of the point of intersection of the tangents.