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Previous Year Question (PYQs)

If a + b + c = 0, then the value of $\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}$ 




Solution

Just Let a=1, b=1 and c=-2 and put in given question 
$\frac{1}{-2}+\frac{1}{-2}+\frac{4}{1}$
$=-1+4=3$

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Aman Karn-pic
Aman Karn , Student
Commented Aug 10 , 2025
First we will take the LCM of the denominators, then we will get a^3+b^3+c^3/abc, and as given in the question that a+b+c=0, then we can say that a^3+b^3+c^3 = 3abc,then replace the value of a^3+b^3+c^3 in above equation , you will get 3abc/abc which is equal to 3
Shivam Gupta-pic
Shivam Gupta , Aspire
Commented Oct 02 , 2025
Keep up this outstanding work and your pursuit of elegant methods. I am proud of your clarity and precision.

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