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raulrag009 (1217)

Blazing goIITian

Olaaa!! Perrrfect answer. 205  [301 rates]

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Here  goes the soln
 
Let\\\\
x,y\;be\;scalars\\\\
For\;coplanarity\\\\
(ai+j+k)=x(i+bj+k)+y(i+j+ck)\\\\
Compare\\\\
x+y=a\\
bx+y=1\\
x+cy=1\\\\
Thus\\\\
a=x+y\quad\;b=\frac{1-y}{x}\quad\;c=\frac{1-x}{y}\\\\
\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}=\\\\
=\frac{1}{1-(x+y)}-\frac{x}{1-(x+y)}-\frac{y}{1-(x+y)}\\\\
=\frac{1-(x+y)}{1-(x+y)}=1
 this reply: 21 points  (with Olaaa!! Perrrfect answer.   in 6 votes )   [?]
 
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