Let the equation of plane passing through the line of intersection of the planes x+2 y+a z=2 and x-y+z=3 be 5 x -11 y+b z=6 a-1. For c \in Z, if the distance of this plane from the point (a,-c, c) is {2}/{\sqrt{a}}, then \frac{a+b}{c} is equal to [13-Apr-2023 shift 1]

JEE Mains 13-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 17 of 90

Marks: +1, -0

Let the equation of plane passing through the line of intersection of the planes x+2y+az=2 and x−y+z=3 be 5x −11y+bz=6a−1. For c∈Z, if the distance of this plane from the point (a,−c,c) is ‌

√a

, then ‌

a+b

is equal to

[13-Apr-2023 shift 1]

-4
2
-2
4

Validate

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