JEE Advanced 2020 Full Test 7 Paper 2

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),(|),(|I) and (IV) and List-II has Six entries (P),(Q),(R),(S),(T) and (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.

	LIST - I		LIST - II
(I)	Two sides of traingle are given by the roots of the equation x2−5x+3=0. If the angle between these sides is π∕3, then the product of inradius and circumradius of the triangle is	P.	12
(II)	In a triangle ABC, if the radii of ex− circles r1,r2 and r3 are given by r1=8,r2=12 and r3=24, then value of the side a iss s	Q.	15
(III)	Let a be a positive integer not exceeding 10, then the probability that the equation x2−2(a2−1)x+2a2−7a+3=0 has one positive and one neqative roots is	R.	‌ 3 7
(IV)	Let (α,β) be a point from which two perpendicular tangents can be drawn to the ellipse 4x2+5y2=20. If F=4α+3β, then the maximum value of F	S	‌ 1 5
		T.	‌ 2 3
		U.	‌ 1 3