If (10)^9 + 2(11)^1(10)^8 + 3(11)^2(10)^7 + + 10(11)^9 = k(10)^9, then k is equal to:

JEE Main 2014 Mathematics question

If , then k is equal to:

Answer: (D)

Let S be the sum. \frac{11}{10}[10^911(10)^811^2(10)^7\ldots11^9]11^{10}(11^{10}$ -

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Question ID VK-008724