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JEE Advanced 2020 Concept Recapitulation Test 1 Paper 1

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 √‌

. 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

Question : 45

Total: 54

Which is correct combination?

(I) (ii) (Q)
(II) (i) (Q)
(III) (iii) (R)
(IV) (iv) (Q)

Validate

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