List - IList - II(I)Number of solutions of the equation(P)0ex+e−x=tanx ∀ x∈[0,π2)(II)Number of solutions of the equations(Q)1x+y=2π3 and cosx+cosy=32 is(III)Number of solutions of the equation(R)2cosx+2sinx=1, x∈[0,2π) is(IV)Number of solutions of the equation(S)Infinite(√3sinx+cosx)√√3sin2x−cos2x+2=4 isWhich of the following is only CORRECT combination?

List - IList - II(I)Number of solutions of the equation(P)0ex+e−x=ta

1.	List - IList - II(I)Number of solutions of the equation(P)0ex+e−x=tanx ∀ x∈[0,π2)(II)Number of solutions of the equations(Q)1x+y=2π3 and cosx+cosy=32 is(III)Number of solutions of the equation(R)2cosx+2sinx=1, x∈[0,2π) is(IV)Number of solutions of the equation(S)Infinite(√3sinx+cosx)√√3sin2x−cos2x+2=4 isWhich of the following is only CORRECT combination?
Answer» $\begin{matrix} List - I & List - II (I) & Number of solutions of the equation & (P) & 0 e^{x} + e^{- x} = tan x \forall x \in [0, \frac{π}{2}) (II) & Number of solutions of the equations & (Q) & 1 x + y = \frac{2 π}{3} and cos x + cos y = \frac{3}{2} is (III) & Number of solutions of the equation & (R) & 2 cos x + 2 sin x = 1, x \in [0, 2 π) is (IV) & Number of solutions of the equation & (S) & Infinite (\sqrt{3} sin x + cos x)^{\sqrt{\sqrt{3} sin 2 x - cos 2 x + 2}} = 4 is \end{matrix}$ Which of the following is only CORRECT combination?