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JEE Advanced 2020 Concept Recapitulation Test 4 Paper 2

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Answer the following by appropriately matching the list based on the information given in the paragraph.
Consider the following functions:
f(x)=frac‌32‌4+x2+x4
g(x)=9+x2
List-l: Contains new functions defined with the help of given functions
List-Il: Contains some information about them
 List - I  List - II
 (I) p(x)=f(x)−g(x)  (P) Is an odd function
 (II) q(x)=(f(x)+g(x))x  (Q) Is an even function
 (III) r(x)=f(x)⋅g(x)  (R) Function never intersect X -axis
 (IV) s(x)=‌
f(x)
g(x)
  (S) Range is a subset of (0,∞)
   (T) Range is a subset of (−∞,0)
   (U) Function intersect X -axis exactly once
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