AP EAMCET · Maths · Basic of Mathematics
If we resolve the rational fraction \(\frac{1}{(1-2 x)^2(1-3 x)}\) in to partial fractions of the form \(\frac{A}{1-3 x}+\frac{B}{1-2 x}+\frac{C}{(1-2 x)^2}\), then what is themin \(\{A, B, C\}=\)
- A 1
- B 9
- C -2
- D -6
Answer & Solution
Correct Answer
(A) 1
Step-by-step Solution
Detailed explanation
We have a partial tractions \(\frac{1}{(1-2 x)^2(1-3 x)}=\frac{A}{1-3 x}+\frac{B}{1-2 x}+\frac{C}{(1-2 x)^2}\) at \(\mathrm{x}=\frac{1}{3}, \mathrm{~A}=\mathrm{g}\) at \(\mathrm{x}=\frac{1}{2}, \mathrm{C}=-2\) and at \(\mathrm{x}=0 \quad \mathrm{~B}=-6\) hence…
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