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MathsMediumMCQ2020 ยท 07 Jan Shift 2

Q56.The number of ordered pairs (r, k) for which 6. 35Cr = (k2 โˆ’3). 36Cr+1, where k is an integer is JEE Main 2020 (07 Jan Shift 2) JEE Main Previous Year Paper (1) 3 (2) 2 (3) 6 (4) 4

What This Question Tests

This question requires simplifying the given expression using the sum of a geometric progression formula and then finding the coefficient of a specific term in the resulting binomial expansion.

Concepts Tested

Sum of geometric seriesBinomial expansionCoefficient extraction

Formulas Used

Sum of GP = a(r^n - 1)/(r-1)

(a+b)^n = ฮฃ (nCr) a^(n-r) b^r

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