Hard· Applications and approximations· +4 / −1
Let be an integer. If and , then is equal to :
Let the coefficients of x^-1 and x^-3 in the expansion of (2x^15-1x^15)^15 , x>0 , be m and n respectively. If r is a positive integer…
JEE Mains 2022 June 29 Shift 2 · Medium
If _k=1^31^31C_k\,^31C_k-1+_k=1^30^30C_k\,^30C_k-1=(α×60!)/(30!×30!) , then 16α is equal to :
JEE Mains 2022, June 28 - Shift 1 · Hard
If the constant term in the expansion of (3x^3-2x^2+5x^5)^10 is 2^k· l , where l is an odd integer, then the value of k is equal to :
JEE Mains 2022 June 29 Shift 1 · Medium