A geometry problem by Sahil Silare

Geometry Level pending

If A ( 1 , p 2 ) A(1,p^2) , B ( 0 , 1 ) B(0,1) and C ( p , 0 ) C(p,0) are the vertices of A B C \triangle ABC , then what is the value of p p for which area of triangle is minimum?

1 2 \frac{1}{\sqrt2} None of these 1 3 \frac{1}{\sqrt3} 1 3 -\frac{1}{\sqrt3}

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1 solution

Sahil Silare
Dec 17, 2016

But why have you marked me wrong? @Brilliant Mathematics

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