AP EAMCET · Maths · Straight Lines
The distance from the origin to the image of \((1,1)\) with respect to the line \(x+y+5=0\) is
- A \(7 \sqrt{2}\)
- B \(3 \sqrt{2}\)
- C \(6 \sqrt{2}\)
- D \(4 \sqrt{2}\)
Answer & Solution
Correct Answer
(C) \(6 \sqrt{2}\)
Step-by-step Solution
Detailed explanation
As we know that the image of \((1,1)\) with respect to line \(x+y+5=0\) is \(\begin{aligned} & \frac{x-1}{1}=\frac{y-1}{1}=\frac{2(1+1+5)}{1+1} \\ & \Rightarrow x-1=-7, y-1=-7 \\ & \Rightarrow x=-6, y=-6 \end{aligned}\) \(\therefore \quad\) Image of point \((1,1)\) is…
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