TS EAMCET · Maths · Quadratic Equation
If \(\frac{3 x}{(x-a)(x-b)}=\frac{2}{x-a}+\frac{1}{x-b}\), then \(a: b\) is equal to
- A \(1: 2\)
- B \(-2: 1\)
- C \(1: 3\)
- D \(3: 1\)
Answer & Solution
Correct Answer
(B) \(-2: 1\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Given, } \frac{3 x}{(x-a)(x-b)}=\frac{2}{(x-a)}+\frac{1}{(x-b)} \\ & \Rightarrow \quad 3 x=2(x-b)+1(x-a)\end{aligned}\) On comparing the coefficient of constant term, we get…
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