NTA Abhyas JEE Main2020MathematicsThree Dimensional GeometryPractice

The length of the perpendicular from 1,0 , 2 on the line x + 1 3 = y - 2 - 2 = z + 1 - 1 is

Options

A3 6 2 units
B6 3 5 units
C3 2 units
D2 3 units

Correct answer

A. 3 6 2 units

Step-by-step solution

Direction ratios of P R → 3 λ - 2 , - 2 λ + 2 , - λ - 3 Direction Ratios of the line Q R → 3 , - 2 , - 1 Since, they are perpendicular 3 3 λ - 2 - 2 - 2 λ + 2 - 1 - λ - 3 = 0 9 λ - 6 + 4 λ - 4 + λ + 3 = 0 14 λ = 7 λ = 1 2 R → 1 2 , 1 , - 3 2 P R = 1 - 1 2 2 + 0 - 1 2 + 2 + 3 2 2 = 1 4 + 4 4 + 49 4 = 54 4 = 3 6 2 units

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