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