AP EAMCET · Maths · Straight Lines
The straight line passing through \((0,0)\) and the foot of perpendicular from \((2,4)\) onto \(\dot{x}+y-1=0\)
- A \(y=-3 x\)
- B \(y=3 x\)
- C \(y=\frac{1}{3} x\)
- D \(y=\frac{-1}{3} x\)
Answer & Solution
Correct Answer
(A) \(y=-3 x\)
Step-by-step Solution
Detailed explanation
\(\frac{h-2}{1}=\frac{k-4}{1}=-\frac{(2+4-1)}{1^2+1^2}\) \(\begin{aligned} & \Rightarrow \quad h=2-\frac{5}{2} \text { and } k=4-\frac{5}{2} \\ & \Rightarrow \quad h=-\frac{1}{2} \text { and } k=\frac{3}{2}\end{aligned}\) \(\therefore\) Equation of line passing through \((0,0)\)…
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