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R. K. MALIK'S NEWTON CLASSES JEE (MAIN & ADV.), MEDICAL + BOARD, NDA, IX & X Enjoys unparalleled reputation for best results in terms of percentage selection www.newtonclasses.net BINOMIAL THEOREM [JEE ADVANCED PREVIOUS YEAR SOLVED PAPER] JEE ADVANCED Single Correct Answer Type 1. Given positive integers r > 1, n > 2 and that the coef- ficient of (37)" and (r + 2)" terms in the binomial expan- sion of (1 +x)” are equal. Then b. n=2r+1 d. none of these (IIT-JEE 1983) .. The coefficient of x* in (x/2 — 3/2°)'° is 405 504 450 "256 2" 259 | | (263 a.n=2r ce. n=3r d. none of these (IT-JEE 1983 }. If C, stands for "C,, then the sum of the series (5\(5) A2/N2/ cd = 207 +3C} = + CI (n+ Ca) n! ~ where x is an even positive integer is equal to a. 0 b. C1)" +1) e. 1)" (2 +2) d. (-1)'n —(IIT-JEE 1986) . 1fa,= 5, Lythen S) — equals = ro "C, b. na, d. none of these (IT-JEE 1988) a. (n-1)a, c. (1/2)na, Ly cy |. The expression [s+ 1) [ee 0’) isa polynomial of degree a5 b. 6 7 d. 8 (IIT-JEE 1992) n n n For 2| . . |, where =0 ifp
