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TMUAmockz Set 1 Paper 1 · Q14

Paper 1GeometryNumber & counting

Triangle PQRPQR has fixed vertices Q=(0,3)Q=(0,3) and R=(4,0)R=(4,0). The third vertex P=(a,b)P=(a,b) has positive integer coordinates satisfying a+2b=14a+2b=14.

What is the greatest possible area of triangle PQRPQR?

A1010
B1111
C1212
D1313
E1414
F1515

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