The value of k if 9k- k9-2

The correct option is B 9Given, #160; 9k+ k9=2 81+k^2=18k k^2 18k+81=0 (k 9)^2=0 k=9 ...

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Algebra of Complex Numbers

The value of ...

Question

The value of $k$ if $\frac{9}{k} + \frac{k}{9} = 2$

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\frac{1}{9}

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\frac{10}{9}

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\frac{9}{10}

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(10)^{9} + 2 (11)^{1} (10)^{8} + 3 (11)^{2} (10)^{7} + . . . + 10 (11)^{9} = k (10)^{9}

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(10)^{9} + 2 (11)^{1} (10)^{8} + 3 (11)^{2} (10)^{7} + \dots + 10 (11)^{9} = k (10)^{9}

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^{10} C_{0} 10^{9} -^{10} C_{1} 9^{9} +^{10} C_{2} 8^{9} . . . . . . . -^{10} C_{9}

If $(10)^{9} + 2 (11)^{1} (10)^{8} + 3 (11)^{2} (10)^{7} + . . . + 10 (11)^{9} = k (10)^{9},$ then k is equals to:
(IIT JEE Main 2014)

(10)^{9} + 2 (11)^{1} (10)^{8} + 3 (11)^{2} (10)^{7} + \dots + 10 (11)^{9} = k (10)^{9},

k

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