AP EAMCET · Maths · Quadratic Equation
For how many values \(a \in \mathbf{C}\), the equations \(x^2-8 x+7=0\) and \(x^2-2 a x+49=0\) have a common root?
- A 1
- B 3
- C 2
- D 0
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
Let \(\alpha\) be the common root of given Equations \(\begin{aligned} \Rightarrow & \alpha^2-8 \alpha+7=0 \quad \ldots (i) \\ & \alpha^2-2 a \alpha+49=0 \quad \ldots (ii) \end{aligned}\) From Eq (i). - Eq. (ii)…
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