JEE Advanced 2020 Concept Recapitulation Test 4 Paper 2

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Answer the following by appropriately matchingthe list based on the information given in the paragraph.
Consider the following equations of curves:
C1:x2+y2=4
C2:y2=8√6x
C3:‌
x2
1
+‌
y2
5
=1

C4:‌
x2
25
−‌
y2
1
=1

List-l: Contains the equation of common tangent between two of the given curves
List-Il: Contains some information
 List - I  List - II
 (I) y=√2(x+√6)  (P) Is a chord of C1
 (II) y=√3x+2√2  (Q) Is not a chord of C4
 (III) y=‌
1
√3
x
+‌
4
√3
 (R) Common tangent of C1&C3
 (IV) y=x+2√6  (S) Common tangent of C2&C4
   (T) Common tangent of C1&C2
   (U) Common tangent of C2&C3
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