List - 1List - 2(I)If f(x)=e[x] and g(x)=x2−4x+3x2−2x+3,(P) 0then number of integer(s) in the range of (f∘g)(x) is(where [.] represents the greatest integer function)(II)4∫0z18−117∑n=0zn dz(Q) 1(III) In a ΔXYZ, y2sin(2Z)+z2sin(2Y)=2yz,(R) 2where y=15,z=8. Then the length of inradius is(IV)The number of integers in the range of the function(S) 3f(x)=√sin−1x−cos−1x+√tan−1x−cot−1x is (T) 4(U) 5Which of the following has CORRECT pair of combination?

List - 1List - 2(I)If f(x)=e[x] and g(x)=x2−4x+3x2−2x+3,(P) 0th

1.	List - 1List - 2(I)If f(x)=e[x] and g(x)=x2−4x+3x2−2x+3,(P) 0then number of integer(s) in the range of (f∘g)(x) is(where [.] represents the greatest integer function)(II)4∫0z18−117∑n=0zn dz(Q) 1(III) In a ΔXYZ, y2sin(2Z)+z2sin(2Y)=2yz,(R) 2where y=15,z=8. Then the length of inradius is(IV)The number of integers in the range of the function(S) 3f(x)=√sin−1x−cos−1x+√tan−1x−cot−1x is (T) 4(U) 5Which of the following has CORRECT pair of combination?
Answer» $\begin{matrix} List - 1 & List - 2 (I) & If f (x) = e^{[x]} and g (x) = \frac{x^{2} - 4 x + 3}{x^{2} - 2 x + 3}, & (P) & 0 then number of integer(s) in the range of (f \circ g) (x) is (where [.] represents the greatest integer function) (II) & 4 \int 0 \frac{z^{18} - 1}{17 \sum n = 0 z^{n}} d z & (Q) & 1 (III) & In a Δ X Y Z, y^{2} sin (2 Z) + z^{2} sin (2 Y) = 2 y z, & (R) & 2 where y = 15, z = 8 . Then the length of inradius is (IV) & The number of integers in the range of the function & (S) & 3 f (x) = \sqrt{{sin}^{- 1} x - {cos}^{- 1} x} + \sqrt{{tan}^{- 1} x - {cot}^{- 1} x} is (T) & 4 (U) & 5 \end{matrix}$ Which of the following has CORRECT pair of combination?