JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
Let \(p,q\in R.\) if \(2-\sqrt 3\) is a root of the quadratic equation, \(x^2 + px + q = 0,\) then
- A \(q^2 + 4p + 14 = 0\)
- B \(p^2 -4q -12 = 0\)
- C \(p^2 -4q + 12 = 0\)
- D \(q^2 -4p -16 = 0\)
Answer & Solution
Correct Answer
(B) \(p^2 -4q -12 = 0\)
Step-by-step Solution
Detailed explanation
In given question \(p, q \in R\). If we take other root as any real number \(\alpha,\) then quadratic equation will be \(x^{2}-(\alpha+2-\sqrt{3}) x+\alpha(2-\sqrt{3})=0\) Now, we can have none or any of the options can be correct depending upon \('\alpha '.\) Instead of…
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