tmua.me Medium Set F Paper 1 · Question 12

tmua.me papers

tmua.me Medium Set F Paper 1 · Q12

Paper 1Algebra

The points $A=(0,0)$ , $B=(4,0)$ and $C=(2,t)$ , where $t>0$ , are three vertices of a parallelogram. They are not necessarily consecutive vertices.

One diagonal of the parallelogram is twice as long as the other.

What is the sum of all possible distinct values of $t^2$ ?

\dfrac{71}{3}

17

\dfrac{23}{3}

\dfrac{68}{3}

\dfrac{91}{3}

38

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