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AP EAMCET · Maths · Circle

For the circle \(x^2+y^2-9=0\), find the equation of the chord having \((1,2)\) as its mid-point.

  1. A \(x+2 y+5=0\)
  2. B \(x-3 y-5=0\)
  3. C \(x-3 y+5=0\)
  4. D \(x+2 y-5=0\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(x+2 y-5=0\)

Step-by-step Solution

Detailed explanation

Equation of chord having mid-point \((1,2)\) w.r.t. circle \(x^2+y^2-9=0\) is (1) \(x+\) (2) \(y-9=1^2+2^2-9\) \[ \Rightarrow \quad x+2 y=5 \]