If (a, b, c) is the image of the point (1,2,-3) in the line, (x+1)/2 = (y-3)/-2 = z/-1 then a+b+c is

a) 2

b) 3

c) -1

d) 1

Solution:

JEE Main 2020 Paper With Solution Maths Sept 5 Shift 1

Vector PM and (

\(\begin{array}{l}2\hat{i}-2\hat{j}-\hat{k}\end{array} \)
) are perpendicular.

⇒ (2λ-2)2+(1-2λ)(-2)+(3-λ) (-1) = 0

⇒ 4λ-4+4 λ-2+λ-3 = 0

⇒ 9λ = 9

⇒ λ = 1

⇒ M(1,1,-1)

Now, P’ = 2M-P

= 2(1,1,-1)-(1, 2, -3)

= (1, 0, 1)

a+b+c = 2

Answer: a

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