A) \[{{y}_{1}}x+{{x}_{1}}y=2{{x}_{1}}{{y}_{1}}\]
B) \[{{x}_{1}}x+{{y}_{1}}y=2{{x}_{1}}{{y}_{1}}\]
C) \[{{y}_{1}}x+{{x}_{1}}y={{x}_{1}}{{y}_{1}}\]
D) \[{{x}_{1}}x+{{y}_{1}}y={{x}_{1}}{{y}_{1}}\]
Correct Answer: A
Solution :
Obviously, \[{{x}_{1}}=\frac{a}{2}\]and \[{{y}_{1}}=\frac{b}{2}\]. Therefore the equation of line \[AB\] is \[\frac{x}{a}+\frac{y}{b}=1\] Þ \[\frac{x}{2{{x}_{1}}}+\frac{y}{2{{y}_{1}}}=1\Rightarrow x{{y}_{1}}+y{{x}_{1}}=2{{x}_{1}}{{y}_{1}}\].You need to login to perform this action.
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