AP EAMCET · Maths · Circle
From a point \((1,0)\) on the circle \(x^2+y^2-2 x+2 y+1=0\) if chords are drawn to this circle, then locus of the poles of these chords with respect the circle \(x^2+y^2=4\) is
- A \(x=4\)
- B \(x+2 y=5\)
- C \(x^2+y^2-x-y=0\)
- D \(2 y^2=(x+1)\)
Answer & Solution
Correct Answer
(A) \(x=4\)
Step-by-step Solution
Detailed explanation
Chord from point \((1,0)\) on the circle \(x^2+y^2-2 x+2 y+1=0\) is polar on the circle \(x^2+y^2=4\) So, locus of poles of the chords is equation of polar at \((1,0)\) on the circle \(x^2+y^2=4\) i.e., \(x=4\).
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