AP EAMCET · Maths · Circle
For a circle of diameter \(R\), touching \(x^2+y^2-4 y=0\) and passing through \((4,5)\), which of the following is correct?
- A \(3 \leq \mathrm{R} \leq 7\)
- B \(0 < \mathrm{R} < 3\)
- C \(\mathrm{R}>7\)
- D \(\frac{3}{2} \leq R \leq \frac{7}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{3}{2} \leq R \leq \frac{7}{2}\)
Step-by-step Solution
Detailed explanation
The distance between centres of circles will be R/2 + 2 Put (4,5) in general equation of circle
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