AP EAMCET · Maths · Quadratic Equation
Let \(a, b\) and \(c\) be the sides of a scalane triangle. If \(\lambda\) is a real number such that the roots of the equation \(x^2+2(a+b+c) x+3 \lambda(a b+b c+c a)=0\) are real, then the interval in which \(\lambda\) lies is
- A \(\left(-\infty, \frac{4}{3}\right)\)
- B \(\left(\frac{5}{3}, \infty\right)\)
- C \(\left(\frac{1}{3}, \frac{5}{3}\right)\)
- D \(\left(\frac{4}{3}, \infty\right)\)
Answer & Solution
Correct Answer
(A) \(\left(-\infty, \frac{4}{3}\right)\)
Step-by-step Solution
Detailed explanation
It is given that roots of given quadratic equation \(x^2+2(a+b+c) x+3 \lambda(a b+b c+c a)=0\) are real, so…
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