JEE Main201912 Jan 2019Morning ShiftMathematicsThree Dimensional GeometryActual

The perpendicular distance from the origin to the plane containing the two lines, x + 2 3 = y - 2 5 = z + 5 7 and x - 1 1 = y - 4 4 = z + 4 7 , is

Options

A11 6
B11 6
C11
D6 11

Correct answer

B. 11 6

Step-by-step solution

Direction vector of normal to the plane = i ^ j ^ k ^ 3 5 7 1 4 7 = 7 i ^ - 14 j ^ + 7 k ^ Hence, direction ratio of normal to the plane = < 1 ,   - 2 ,   1 > Thus, equation of plane is x - 2 y + z + 11 = 0 Hence, perpendicular distance from origin = 11 1 2 + - 2 2 + 1 2 = 11 6

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