Most Important Selected Qs for JEE AdvancedMathematicsBasics of Mathematics
Let y_i(i=1 to n) are the solution satisfying the equation y^ ₃( 3 y ) =y^ ₃(3 y) -6 where y>0 . Then:
Options
- A_ i=1 ^n y_i= 28 9
- B_ i=1 ^n y_i= 1 3
- CValue of n is equal to 3.
- D_ i=1 ^n 1 y_i =9
Correct answer
B. _ i=1 ^n y_i= 1 3
Step-by-step solution
Let y^ ₃( 3 y ) =t aligned & t=t^2-6 t^2-t-6=0 (t-3)(t+2)=0 & t=3 aligned aligned & y^ ₃( 3 y ) =3 & 1 2 ₃ 3 y _e y=1 aligned aligned & 1 2 (1+a) a=1 a^2+a-2=0 (a+2)(a-1)=0 & array l a=1,-2 y=3,1 / 9 y₁=1 / 9 and y₂=3 array aligned