Question : If $\frac{3a+4b}{3c+4d}=\frac{3a-4b}{3c-4d}$, then:
Option 1: $ab=cd$
Option 2: $ad=bc$
Option 3: $ac=bd$
Option 4: $a=b=c\neq d$
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Answer (1)
22nd Jan, 2024
Correct Answer: $ad=bc$
Solution :
Given: $\frac{3a+4b}{3c+4d}=\frac{3a-4b}{3c-4d}$
Simplifying by cross multiplication,
$⇒9ac-12ad+12bc-16bd=9ac-12bc+12ad-16bd$
$⇒24bc=24ad$
$⇒ad=bc$
Hence, the correct answer is $ad=bc$.
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