TS EAMCET · Maths · Circle
Let \(Q\) be a point on the circle \(B: x^2+y^2=a^2\) and \(P(h, k)\) be a fixed point. If the locus of the point which divides the join of \(P\) and \(Q\) in the ratio \(p: q\) is a circle \(C\), then the centre of \(C\) is
- A \(\left(\frac{p+q}{p}, \frac{p+q}{q}\right)\)
- B \(\left(\frac{h p+k q}{p}, \frac{h p+k q}{q}\right)\)
- C \(\left(\frac{h q}{p}, \frac{k q}{p}\right)\)
- D \(\left(\frac{h q}{p+q}, \frac{k q}{p+q}\right)\)
Answer & Solution
Correct Answer
(D) \(\left(\frac{h q}{p+q}, \frac{k q}{p+q}\right)\)
Step-by-step Solution
Detailed explanation
Let \(R(\alpha, \beta)\) be the required point and \(Q\left(x_0, y_0\right)\) and \(P(h, k)\).…
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