If 1/(2·3¹⁰) + 1/(2²·3⁹)... |JEE Main 2022| Binomial Theorem

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JEE MAIN 2022

25-6-2022 S1

Question

If $\frac{1}{2 \cdot 3^{10}}+\frac{1}{2^2 \cdot 3^9}+\ldots \cdot \frac{1}{2^{10} \cdot 3}=\frac{\mathrm{K}}{2^{10} \cdot 3^{10}}$, then the remainder when K is divided by 6 is

Select the correct option:

A

1

B

2

C

3

D

5

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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