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AP EAMCET202124 Aug 2021Evening ShiftMathematicsBasics of MathematicsActual

If m n=3 and 1 m + 1 n = 4 3 , then the value of 0.1+0.1^ 1 m +0.1^ 1 n is

Options

  1. A0.2+0.1^ 1 3
  2. B0.1+0.1^ 1 3 +0.1^ 1 2
  3. C0.1+0.1^ 4 3 +0.1^ 1 2
  4. D0.1+0.1^ 1 4 +0.1^ 1 2

Correct answer

A. 0.2+0.1^ 1 3

Step-by-step solution

We have, m n=3 and 1 m + 1 n = 4 3 aligned & m n=3 and m+n m n = 4 3 & m n=3 and m+n=4 aligned Solving, we get m=1, n=3 or m=3, n=1 Now, 0 1+(0 1)^ 1 m +(0 1)^ 1 n Put m=1, n=3 , we get 0 1+(0 1)+(0 1)^ 1 / 3 =0 2+(0 1)^ 1 / 3

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