AP EAMCET · Maths · Straight Lines
The image of a point \((2,-1)\) with respect to the line \(x-y+1=0\) is
- A \((2,-3)\)
- B \((-2,3)\)
- C \((0,1)\)
- D \((-1,0)\)
Answer & Solution
Correct Answer
(B) \((-2,3)\)
Step-by-step Solution
Detailed explanation
\( \frac{x-2}{1} = \frac{y-(-1)}{-1} = -2\frac{(1)(2)+(-1)(-1)+1}{1^2+(-1)^2} \) \( \frac{x-2}{1} = \frac{y+1}{-1} = -4 \) \( x = -4+2 = -2, \quad y = 4-1 = 3 \) \((-2,3)\)
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