A circle with centre $C$ passes through $A(-1,2)$ and $B(7,2)$. The tangent at $A$ has equat

Question

A circle with centre $C$ passes through $A(-1,2)$ and $B(7,2)$. The tangent at $A$ has equation $y=2x+4$. Find the equation of the circle.[4] The tangent at $B$ meets the tangent at $A$ at $T$. Find the coordinates of $T$.[3] Find the area of quadrilateral $CATB$.[2]

Accepted Answer

(a) $(x-3)^2+y^2=20$. (b) $(3,10)$. (c) $40$ square units.

A circle determined by a tangent and a chord

A circle determined by a tangent and a chord

Solution:

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