WBJEE · Maths · Straight Lines
The point \(Q\) is the image of the point \(P(1,5)\) about the line \(y=x\) and \(R\) is the image of the point \(Q\) about the line \(y=-x .\) The circumcentre of the \(\Delta P Q R\) is
- A (5,1)
- B (-5,1)
- C \((1,-5)\)
- D \((0,0)\)
Answer & Solution
Correct Answer
(D) \((0,0)\)
Step-by-step Solution
Detailed explanation
Given, point P(1,5) image of the point \(P(1,5)\) about the line \(y=x\) is \(Q(5,1)\) and image of the point \(Q\) on line \(y=-x\) is \(R(-1,-5)\) \(\therefore\) Required circumcentre \(=\) Mid-point of \(P\) and \(R\) \(=\left(\frac{1-1}{2}, \frac{5-5}{2}\right)=(0,0\)
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