AP EAMCET · Maths · Circle
Suppose two tangents PA and PB are drawn to the circle centered at \(\mathrm{C}(1,2)\) from the point \(\mathrm{P}(16,7)\). If the area of the quadrilateral PACB is 75 square units, then the radius of the circle is
- A 5
- B 25
- C 225
- D \(\sqrt{5}\)
Answer & Solution
Correct Answer
(A) 5
Step-by-step Solution
Detailed explanation
\(\mathrm{PC}=\sqrt{(16-1)^2+(7-2)^2}=\sqrt{250}\) Area of PACB \[ =\mathrm{AP} \times \mathrm{AC}=\mathrm{xr}=75 \Rightarrow \mathrm{x}=\frac{75}{\mathrm{r}} \] In triangle APC…
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