Question
If a/b + b/a = 1, then the value of a^3 + b^3 will be
यदि a/b + b/a = 1 है, तो a^3 + b^3 का मान होगा l
Answer A.
A.a / b + b / a = 1
(a^2 +b^2) / ab=1
a^2 +b^2=ab
a^3 + b^3=(a+b)(a^2+b^2-ab)
(a+b)(ab-ab)=(a+b)(0) (a^2+b^2=ab)
=0
So the correct answer is option A.
A.a / b + b / a = 1
(a^2 +b^2) / ab=1
a^2 +b^2=ab
a^3 + b^3=(a+b)(a^2+b^2-ab)
(a+b)(ab-ab)=(a+b)(0) (a^2+b^2=ab)
=0
इसलिए सही उत्तर विकल्प A है।
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