Ina A ABC, B -90° and a + b =4. The...
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Ina A ABC, B -90° and a + b =4. The area of the triangle is maximum when C, is (b) . (d) none of these

JEE/Engineering Exams
Maths
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ang ( =(4-b) times sqrt{2 b-4} ) fon max. anea, ( frac{d(text { and } a)}{d b}=0 ) ( Rightarrow frac{(4-b) 2}{2 times sqrt{2 b-4}}-sqrt{2 b-4}=0 ) ( Rightarrow quad 4-b=2 b-4 ) ( Rightarrow quad 8=b cdot quad Rightarrow a=4-frac{8}{3}=frac{4}{3} ) ( 3 quad therefore cos C=frac{a}{b}=frac{1}{2} Rightarrow C=frac{pi}{3} ) thes
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