A) \[\left| \frac{{{a}^{2}}-ab+{{b}^{2}}}{\sqrt{{{a}^{2}}+{{b}^{2}}}} \right|\]
B) \[\left| \frac{{{b}^{2}}-ab-{{a}^{2}}}{\sqrt{{{a}^{2}}+{{b}^{2}}}} \right|\]
C) \[\left| \frac{{{a}^{2}}+ab-{{b}^{2}}}{\sqrt{{{a}^{2}}+{{b}^{2}}}} \right|\]
D) None of these
Correct Answer: B
Solution :
Length of perpendicular is \[\left| \frac{\frac{b}{a}-\frac{a}{b}-1}{\sqrt{{{\left( \frac{1}{a} \right)}^{2}}+{{\left( \frac{1}{b} \right)}^{2}}}} \right|=\left| \frac{{{b}^{2}}-{{a}^{2}}-ab}{\sqrt{{{a}^{2}}+{{b}^{2}}}} \right|\]
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