JEE MAINS 2018 For the equation `40/[x-1]-160/[x-4]-200/[x-5]+320/[x-8]=6x^2-27x` (A) Number o...

392 views · Published 11 October 2018 · 8:04 · Indexed 27 September 2026

Channel: Doubtnut · 2018 · Education

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To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW  For the equation `40/[x-1]-160/[x-4]-200/[x-5]+320/[x-8]=6x^2-27x` 
(A) Number of real solutions of above equation is 3 
(B) If E denotes the product of non-zero real or complex roots of the equation, then sum of divisors of E is 2904 
(C) If S denotes the set of all real roots of the equation then, sum of elements of S taken two at a time is 81 
(D) If `alpha_1,alpha_2 in R` be two roots of the equation such that `log_[alpha_2](2alpha_1)` is defined then it must be 1.
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