NDA2024MathematicsTrigonometric EquationsActual
What is the general solution of ¹⁰⁰ x- ¹⁰⁰ x=1 ? where n is an integer.
Options
- An
- B(2 n+1)
- C2 n
- D(2 n+1) 2
Correct answer
A. n
Step-by-step solution
Since, ^2 x [0,1] ¹⁰⁰ x [0,1] and ^2 x [0,1] ¹⁰⁰ x [0,1] Hence, ¹⁰⁰ x - ¹⁰⁰ x =1 is only possible when aligned & ¹⁰⁰ x=1 & ^2 x=1 x=n 0 x=n aligned