AP EAMCET · Maths · Quadratic Equation
If \(S=\left\{m \in R: x^2-2(1+3 m) x+7(3+2 m)=0\right.\) has distinct roots \(\}\), then the number of elements in \(S\) is
- A \(2\)
- B \(3\)
- C \(4\)
- D infinite
Answer & Solution
Correct Answer
(D) infinite
Step-by-step Solution
Detailed explanation
Given, equation \(x^2-2(1+3 m) x+7(3+2 m)=0\) Here, \(a>0\) and \(D=b^2-4 a c>0\) Expression is always positive, if roots are distinct then \(D>0\), \([-2(1+3 m)]^2-4 \times 7(3+2 m)>0\)…
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