AP EAMCET · Maths · Straight Lines
The perimeter of the locus of the point \(P\) which divides the line segment \(\overrightarrow{Q A}\) internally in the ratio \(1: 2\), where \(A=(4,4)\) and \(Q\) lies on the circle \(x^2+y^2=9\) is
- A \(8 \pi\)
- B \(4 \pi\)
- C \(\pi\)
- D \(9 \pi\)
Answer & Solution
Correct Answer
(B) \(4 \pi\)
Step-by-step Solution
Detailed explanation
Let \(P \equiv(h, k)\) Also \(P \equiv\left(\frac{4+6 \cos \theta}{3}, \frac{4+6 \sin \theta}{3}\right) \equiv(h, k)\)…
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