A) \[\frac{x}{b}-\frac{y}{a}=1\]
B) \[\frac{x}{a}-\frac{y}{b}=1\]
C) \[\frac{x}{b}+\frac{y}{a}=ab\]
D) \[\frac{x}{a}-\frac{y}{b}=ab\]
E) \[\frac{x}{a}+\frac{y}{b}=ab\]
Correct Answer: B
Solution :
Equation of line perpendicular to \[ax+by-{{a}^{2}}=0\]is\[bx-ay+\lambda =0\]and line \[ax+by-{{a}^{2}}=0\]is passes through\[\left( -\frac{\lambda }{b},0 \right)\], then \[\lambda =-ab\] \[\therefore \] \[bx-ay=ab\] \[\Rightarrow \] \[\frac{x}{a}-\frac{y}{b}=1\]
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