For a circle of diameter $R$, touching $x^2+y^2-4 y=0$ and passing through $(4,5)$, which of the following…

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?
  1. $3 \leq \mathrm{R} \leq 7$
  2. $0 < \mathrm{R} < 3$
  3. $\mathrm{R}>7$
  4. $\frac{3}{2} \leq R \leq \frac{7}{2}$

Solution

The distance between centres of circles will be R/2 + 2 Put (4,5) in general equation of circle

Asked in: AP EAMCET 2022 (05 Jul Shift 2)

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