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JEE Advanced 2020 Full Test 2 Paper 2

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This section contains TWO (02) List-Match Sets. Each List-Match set has TWO(02) Multiple Choice Questions. Each List-Match set has two lists: List-I and List-II. List-I has Four entries (I),(II),(III) and (IV) and List-II has Five/Six entries (P),(Q),(R),(S),(T) or (U). FOUR options are given in each Multiple Choice Question based On List-I and List-II and ONLY ONE of these four options satisfies the condition asked in the Multiple Choice Question.
Answer the following by appropriately matching the list based on the information given in the paragraph.
If e1 and e2 are the roots of the equation x2−ax+2=0, then there are same expressions given in the list − I whose values are given in list − II below:
   List - I    List - II
 (I)  If e1 and e2 are the eccentricities of the ellipse and hyperbola respectively, then the possible values of ' a ' is/are  (P)  5
 (II)  If both e1 and e2 are the eccentricities of hyperbola then the possible value of a is/are  (Q)  ‌
5
2
 (III)  If e1 and e2 are eccentricities of hyperbola and its conjugate hyperbola, then the possible values of a is/are  (R)  6
 (IV)  If e1 is the eccentricity of the hyperbola for which there exist infinite points from which perpendicular tangents can be drawn and e2 is the eccentricity of the hyperbola from which no such points exists then the possible of ' a′ is/are  (S)  2√2
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