WBJEE · Maths · Quadratic Equation
If \(b_{1} b_{2}=2\left(c_{1}+c_{2}\right)\) and \(b_{1}, b_{2}, c_{1}, c_{2}\) are all real numbers, then at least one of the equations \(\bar{x}^{2}+h_{1} x+c_{1}=0\) and \(x^{2}+b_{2} x+c_{2}=0\) has
- A real roots
- B purely imagnary roots
- C roots of the form \(a+i b(a, b \in R, a b \neq 0)\)
- D rational roots
Answer & Solution
Correct Answer
(A) real roots
Step-by-step Solution
Detailed explanation
We have equations \[ \begin{aligned} x^{2}+b_{1} x+c_{1} &=0 \\ D_{1} &=b_{1}^{2}-4 c_{1} \\ x^{2}+b_{2} x+c_{2} &=0 \end{aligned} \]…
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