A) \[\left( -\frac{1}{5},\frac{13}{5} \right)\]
B) \[\left( \frac{-7}{5},\frac{9}{5} \right)\]
C) \[\left( \frac{7}{5},\frac{-9}{5} \right)\]
D) \[\left( \frac{-7}{5},\frac{-9}{5} \right)\]
Correct Answer: A
Solution :
[a] Equation of \[AB=2x-y+3=0\] \[\Rightarrow \Delta PAD\cong \Delta PBD\] \[\Rightarrow D\]is foot of perpendicular \[\Rightarrow \] from P to AB \[\frac{\alpha -1}{2}=\frac{\beta -2}{-1}=\frac{-(2\times 1-1\times 2+3)}{4+1}\] \[\frac{\alpha -1}{2}=\frac{\beta -2}{-1}=\frac{-3}{5}\Rightarrow \alpha =\frac{-1}{5},\beta =\frac{13}{5}\]You need to login to perform this action.
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