AP EAMCET · Maths · Circle
If the lengths of the tangents drawn from a point \(P\) to the three circles \(x^2+y^2-4=0\), \(x^2+y^2-2 x+3 y=0\) and \(x^2+y^2+7 y-18=0\) are equal, then the coordinates of \(P\) are
- A (2, 5)
- B (3, 4)
- C (4, 3)
- D (5, 2)
Answer & Solution
Correct Answer
(D) (5, 2)
Step-by-step Solution
Detailed explanation
Radical centre is the locus of point \(P\) from which equal length of tangent can be drawn to circle. So, \(\quad S_1-S_2=0\) \[ \Rightarrow\left(x^2+y^2-4\right)-\left(x^2+y^2-2 x+3 y\right)=0 \] and \[ S_1-S_3=0 \]…
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