1.

In any triangle `A B C ,(a^2+b^2+c^2)/(R^2)`has the maximum value of3 (b)6 (c) 9(d) none of these

Answer» `(a^2+b^2+c^2)/R^2=((2RsinA)^2+(2RsinB)^2+(2Rsinc)^2)/R^2`
`4(sin^2A+sin^2B+sin^2C)`
`4*2(1+cosAcosBcosC)`
`8(1+cosAcosBcosC)`
`8(1+1/8)`
`8(9/8)`
`9`
Option C is correct.


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