Answer Q.15 and Q.16 by appropriately matching the lists based on the information given in the paragraph.Let f(x)=sin(πcosx) and g(x)=cos(2πsinx) be two functions defined for x>0. Define the following sets whose elements are written in the increasing order:X={x:f(x)=0}, Y={x:f′(x)=0},Z={x:g(x)=0}, W={x:g′(x)=0},.List−I contains the sets X,Y,Z and W. List−II contains some information regarding these sets. List IList II(i)X(P)⊇{π2,3π2,4π,7π} (ii)Y(Q)an arithmetic progression (iii)Z(R)NOT an arithmetic progression(iv)Z(S)⊇{π6,7π6,13π6} (T)⊇{π3,2π3,π} (U)⊇{π6,3π4} Q.16 which of the following is the only CORRECT combination?

Answer Q.15 and Q.16 by appropriately matching the lists based on the

1.	Answer Q.15 and Q.16 by appropriately matching the lists based on the information given in the paragraph.Let f(x)=sin(πcosx) and g(x)=cos(2πsinx) be two functions defined for x>0. Define the following sets whose elements are written in the increasing order:X={x:f(x)=0}, Y={x:f′(x)=0},Z={x:g(x)=0}, W={x:g′(x)=0},.List−I contains the sets X,Y,Z and W. List−II contains some information regarding these sets. List IList II(i)X(P)⊇{π2,3π2,4π,7π} (ii)Y(Q)an arithmetic progression (iii)Z(R)NOT an arithmetic progression(iv)Z(S)⊇{π6,7π6,13π6} (T)⊇{π3,2π3,π} (U)⊇{π6,3π4} Q.16 which of the following is the only CORRECT combination?
Answer» Answer Q.15 and Q.16 by appropriately matching the lists based on the information given in the paragraph. Let $f (x) = sin (π cos x)$ and $g (x) = cos (2 π sin x)$ be two functions defined for $x > 0.$ Define the following sets whose elements are written in the increasing order: $X = {x : f (x) = 0}, Y = {x : f^{'} (x) = 0},$ $Z = {x : g (x) = 0}, W = {x : g^{'} (x) = 0},$ . $L i s t - I$ contains the sets $X, Y, Z$ and $W$ . $L i s t - I I$ contains some information regarding these sets. $\begin{matrix} L i s t I & L i s t I I (i) & X & (P) & \supseteq {\frac{π}{2}, \frac{3 π}{2}, 4 π, 7 π} (i i) & Y & (Q) & an arithmetic progression (i i i) & Z & (R) & NOT an arithmetic progression (i v) & Z & (S) & \supseteq {\frac{π}{6}, \frac{7 π}{6}, \frac{13 π}{6}} (T) & \supseteq {\frac{π}{3}, \frac{2 π}{3}, π} (U) & \supseteq {\frac{π}{6}, \frac{3 π}{4}} \end{matrix}$ Q.16 which of the following is the only CORRECT combination?

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