Question

If bc + ca + ab = 0.Then,
bc/a^2 + ca/b^2 + ab/c^2 =?

A) - 2 B) 2 C) 3 D) - 3

Answer 1

Solution :

It is given that ,

bc + ca + ab = 0 -----( 1 )

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We know that ,

If x + y + z = 0 then

x³ + y³ + z³ = 3xyz

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Now ,

bc/a² + ca/b² + ab/c²

= [ ( bc )³ + (ca)³ + ( ab )³ /( abc )² ]

= [ 3(bc)(ca)(ab) ]/( abc )²

[ from using identity ]

= [3 ( abc )² ]/( abc )²

= 3

Option ( C ) is correct.

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