`((4.53-3.07)^(2))/((3007-2.15)(2.15-4.53))+`
`((3.07-2.15)^(2))/((2.15-4.53)(4.53-3.07))+`
`((2.15-4.53)^(2))/((4.53-3.07)(3.07-2.15))` का सरलीकृत मान है?

Options

A. `0`
B. `1`
C. `2`
D. `3`

Answer

D

Explanation

According to the question
Let `a=4.53-3.07`
`b=3.07-2.15`
`c=2.15-4.53`
`a+b+c=0`
`:. a^(3)+b^(3)+c^(3)=3abc`
`implies(a^(2))/(bc)=(b^(2))/(ca)+(c^(2))/(ab)`
`implies(a^(3)+b^(3)+c^(3))/(abc)`
`implies (3abc)/(abc)=3`