Circles 3

If A(1,p²) , B(0,1), C(p,0) are the co-ordinates of the three points then the value of p for which the area of the triangle ABC is minimum is :

A) 1/âˆš3
B) - 1/âˆš3
C) 1/âˆš3 or -1/âˆš3
D) None of these

Ans: D

2 Answers

plainly do it by applying formula
2A(p)=p^3-p+1
A(min)=A(1/âˆš3)

akari you seem to have made small mistake.

area(p)= p³-p+1

minimum occurs at p=1/2

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