AP EAMCET · Maths · Circle
If a point \(\mathrm{P}(\alpha, \beta)\) on the line \(\mathrm{y}=1\) is such that the two distinct chords drawn on \(x^2+y^2-\alpha x-y=0\) from \(P\) are bisected by the \(x\)-axis, then
- A \(\alpha^2 < 8\)
- B \(\alpha=2 \sqrt{2}\)
- C \(\alpha^2>8\)
- D \(\alpha=-2 \sqrt{2}\)
Answer & Solution
Correct Answer
(C) \(\alpha^2>8\)
Step-by-step Solution
Detailed explanation
Given \(\mathrm{p}=(\alpha, \beta)\) and Let \(\mathrm{C}\) is the mid point of chord PQ, Let \(\mathrm{C}=(\lambda, 0) \Rightarrow \beta=(-\alpha+2 \mathrm{~h},-\beta)\) Since \(\beta\) lies on the circle.…
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