Properties of TriangleHard

Question

If P is a moving point in the xy-plane in such a way that perimeter of triangle PQR is 16 {where Q ≡ (3, √5), R ≡ (7, 3 √2)} then maximum area of triangle PQR is :-

Options

A.6
B.12
C.18
D.9

Solution

    
A = × 6 × PM area will be maximum when PM is maximum and for PM to be maximum triangle will be isosceles. Hence PM = 4, A = 12.

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