Let {\C}_{ {\r}} denote the binomial coefficient of {\x}^{ {\r}} in the expansion of (1+x)^{10}. If for \alpha, \beta \in {\R}, C_1+3.2 C_2+5.3 C_3+. . . . . . upto 10 terms =\frac{\alpha \times 2^{11}}{2^\beta-1}(C_0+\frac{C_1}{2}+\frac{C_2}{3}+. . .. upto 10 terms ) then the value of \alpha+\beta is equal to [25-Jun-2022-Shift-1]

JEE Main 25 June 2022 Shift 1 Solved Paper

Section: Mathematics

Question : 21 of 90

Marks: +1, -0

Let Cr denote the binomial coefficient of xr in the expansion of (1+x)10. If for α,β∈R,C1+3.2C2+5.3C3+...... upto 10 terms =‌

α×211

2β−1

(C0+‌

+‌

+.... upto 10 terms ) then the value of α+β is equal to

[25-Jun-2022-Shift-1]

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