Coordinate Geometry of the Circle Structured Questions | Cambridge O Level Additional Mathematics

(a)

Find the equation of the tangent $T$ to circle $C$ at point $A$ . Give your answer in the form $ax + by + c = 0$ , where $a, b, c$ are integers.

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(b)

Tangent $T$ intersects the $x$ -axis at point $P$ and the $y$ -axis at point $Q$ . Calculate the area of triangle $OPQ$ , where $O$ is the origin.

[3]

(c)

Find the equation of the normal $N$ to circle $C$ at point $A$ .

[2]

(d)

Tangent $T$ and normal $N$ intersect the $y$ -axis at points $Q$ and $R$ respectively. Calculate the exact distance $QR$ .

[3]