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JEE Advanced2011MathematicsTrigonometric EquationsActual

The positive integer value of n>3 satisfying the equation 1 ( n ) = 1 ( 2 n ) + 1 ( 3 n ) is

Correct answer

7

Step-by-step solution

Given, n>3 Integer aligned & and 1 ( n ) = 1 ( 2 n ) + 1 ( 3 n ) & 1 n - 1 3 n = 1 2 n & 3 n - n n 3 n = 1 2 n aligned aligned & 2 ( 2 n ) n = n 3 n 2 n & 2 2 n 2 n = 3 n & 4 n = 3 n & 4 n = - 3 n 7 n = n=7 aligned

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