Daniel J Smith Custom TMUA Set A Paper 2 · Question 10

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Daniel J Smith Custom TMUA Set A Paper 2 · Q10

Paper 2Geometry

Let $C$ be the circle

x^2+y^2=9

Let $P$ be the point $(a,0)$ where $a>3$

The two tangents from $P$ to $C$ touch the circle at $T_1$ and $T_2$

What is the area of triangle $PT_1T_2$ in terms of $a$ ?

3\sqrt{a^2-9}

\frac{3(a^2-9)^{3/2}}{a^2}

\frac9a\sqrt{a^2-9}

\frac a3\sqrt{a^2-9}

\frac{a^2-9}{3}

\frac{a^2-9}{a}

\frac9{\sqrt{a^2-9}}

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