A) \[\left( \frac{1}{3},\frac{3}{2} \right)\]
B) \[\left( -\frac{1}{2},\frac{3}{2} \right)\]
C) \[\left( \frac{4}{3},\frac{1}{2} \right)\]
D) \[\left( \frac{3}{4},\,\,-\frac{1}{2} \right)\]
Correct Answer: B
Solution :
Applying the formula, the required foot is \[\left( \frac{{{1}^{2}}\times 2-1\times 1\times 4+1}{{{1}^{2}}+{{1}^{2}}},\frac{{{1}^{2}}\times 4-1\times 1\times 2+1}{{{1}^{2}}+{{1}^{2}}} \right)=\,\left( -\frac{1}{2},\frac{3}{2} \right)\]. Trick: Here, in options only point \[\left( -\frac{1}{2},\frac{3}{2} \right)\] is satisfying the given equation of line.
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