COMEDK · Maths · 10. Straight Lines
Let point Q be the image of point \(P(2, -1)\) in the line \(3x + 5 = 4y\). Find the area of the circle that has the segment PQ as the diameter.
- A \(1.96\pi\)
- B \(3\pi\)
- C \(9\pi\)
- D \(36\pi\)
Answer & Solution
Correct Answer
(C) \(9\pi\)
Step-by-step Solution
Detailed explanation
The equation of the given line is \(3x - 4y + 5 = 0\). Since \(Q\) is the image of \(P(2, -1)\) in the given line, the line acts as the perpendicular bisector of the segment \(PQ\). The distance from point \(P\) to the line is equal to half the length of \(PQ\), which is the…
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