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JEE Advanced 2020 Concept Recapitulation Test 1 Paper 1

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Answer questions 44, 45 and 46 by appropriately matching the Information given in the three columns of the following table.
Consider three plans:
P1≡2x+y+z=1
P2≡x−y+z=2
P3≡αx−y+3z=5
The threeplanes intersects each other at point P on XOY plane and at point Q on YOZ plane. O is the origin.
 Column - 1  Column - 2  Column - 3
 (I) The value of α is  (i) 1  (P) root of equation x2−x(4+i)+4i=0
 (II) The length of projection of PQ on x− axis is  (ii) 2  (Q) root of equation x2−1=0
 (III) If the coordinates of point R situated at minimum distance from point O on the line PQ are (a,b,c), then the value of 7a+14b+14c is  (iii) 4  (R) root of equation x3−8=0
 (IV) If the area of ∆POQ is √‌
a
b
. Then the value of a−b is where a and b are co - prime numbers		  (iv) 3  (S) root of equation x2+2x−15=0
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Question : 46
Total: 54
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