InterviewSolution
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InterviewSolution
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यदि `(x-a)(x-b)=1` और `a-b+5=0` है तो `(x-a)^(3)1/((x-a)^(3))` का मान ज्ञात करें।A. -125B. 1C. 125D. 140 |
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Answer» Correct Answer - D `(x-a)(x-b)=1` `(x-a)=1/((x-b))` `implies a-b=-5` (given) add and subtract `x` `a-b+x-x=-5` `(a-x)+(x-b)=-5` `(x-b)-(x-a)=-5` `(x-a)-(x-b)=+5` `:. (x-a)=1/((x-b)=+5` `:. (x-a)-1/((x-a))=+5` Taking cube on both sides `(x-a)^(3)-1/((x-a)^(3))-3(x-a)xx1/((x-a))` `((x-a)-1/((x-a)))=(5)^(3)` `implies (x-a)^(3)-1/((x-a)^(3))-3xx(5)=125` `(x-a)^(3)-1/((x-a)^(3))=125+15=140` |
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