AP EAMCET · Maths · Circle
If the point \((\lambda, l+\lambda)\) lies inside the circle \(x^2+y^2=1\), then
- A \(\lambda>0\)
- B \(\lambda < 0\)
- C \(-1 < \lambda < 0\)
- D \(0 < \lambda < 1\)
Answer & Solution
Correct Answer
(C) \(-1 < \lambda < 0\)
Step-by-step Solution
Detailed explanation
\((\lambda, 1+\lambda)\) lie inside the \(x^2+y^2=1\) \(\therefore \quad(\lambda)^2+(1+\lambda)^2-1 < 0\) \(\Rightarrow \lambda^2+1+2 \lambda+\lambda^2-1 < 0\) \(\Rightarrow \quad 2 \lambda^2+2 \lambda < 0 \Rightarrow 2 \lambda(\lambda+1) < 0\)…
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