if a^2+c^2/ab+cd=ab+cd/b^2+d^2, prove that a/b=c/d
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Answer:
RTPa²+c²/ab+cd=ab+cd/b²+d²
Proof:-
=>a²b²+a²d²+b²c²+c²d²=a²b²+c²d²+ abcd + abcd
=>a²d²+b²c²=2abcd=0
=>a²d²+b²c²-2abcd=0
=>(ad-bc)²=0
=>ad=bc
=>a/b=c/d
Hence proved
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