WBJEE · Maths · Straight Lines
The point \(P(3,6)\) is first reflected on the line \(y=x\) and then the image point \(Q\) is again reflected on the line \(y=-x\) to get the image point \(Q^{\prime} .\) Then, the circumcentre of the \(\Delta P Q Q^{\prime}\) is
- A (6,3)
- B (6,-3)
- C (3,-6)
- D (0,0)
Answer & Solution
Correct Answer
(D) (0,0)
Step-by-step Solution
Detailed explanation
The coordinates of \(Q\) and \(Q^{\prime}\) will be (6,3) and \((-3,-6),\) respectively. Now, slope of \(P Q=\frac{6-3}{3-6}=-1\) and Slope of \(Q Q^{\prime}=\frac{-6-3}{-3-6}=1\) \(\therefore\) Slope of \(P Q \times\) Slope of \(Q Q^{\prime}=-1 \times 1=-1\)…
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