AP EAMCET · Maths · Circle
The largest among the distances from the point \(P(15,9)\) to the points on the circle \(x^2+y^2-6 x-8 y-11=0\) is
- A 12
- B 13
- C 19
- D 7
Answer & Solution
Correct Answer
(C) 19
Step-by-step Solution
Detailed explanation
\(x^2+y^2-6 x-8 y-11=0, P(15,9)\) Centre \((C)=(3,4)\) \(\text { Radius }=\sqrt{9+16+11}=6 ; C P=\sqrt{(15-3)^2+(9-4)^2}=13\) \(\therefore\) Greatest distance \(=13+6=19\)
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