AP EAMCET · Maths · Basic of Mathematics
The fraction \(\frac{x^2}{(x-a)(x-b)}\) is
- A always a proper partial fraction
- B always an improper partial fraction
- C a proper partial fraction for certain values of \(a, b\) only
- D an improper partial fraction for certain values of a, b only
Answer & Solution
Correct Answer
(B) always an improper partial fraction
Step-by-step Solution
Detailed explanation
\(\frac{x^2}{(x-a)(x-b)}\) Here, degree of both Numerator and denominator are same. Then the rational function is called Improper rational function. That way the given Partial fraction is improper. Here, option (b) is correct.
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