A) \[2:3\]
B) \[5:3\]
C) \[3:5\]
D) \[3:2\]
Correct Answer: A , B
Solution :
Solution :
Given, \[\frac{1}{(3-5x)(2+3x)}=\frac{A}{(3-5x)}+\frac{B}{(2+3x)}\] By partial fraction \[1=(3A-5B)x+(2A+3B)\] On comparing the like powers of ‘x’ \[3A-5B=0\] …..(i) and \[2A+3B=1\] ……(ii) On solving, we get \[A=\frac{5}{19},B=\frac{3}{19}\] Hence, \[A:B=5:3\]You need to login to perform this action.
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