JEE Main20207 Jan 2020Morning ShiftMathematicsThree Dimensional GeometryActual

Let P be a plane passing through the points 2 , 1 , 0 , 4 , 1 , 1 and 5 , 0 , 1 and R be any point 2 , 1 , 6 .Then the image of R in the plane P is

Options

A6 , 5 , 2
B6 , 5 , - 2
C4 , 3 , 2
D3 , 4 , - 2

Correct answer

B. 6 , 5 , - 2

Step-by-step solution

Solving for Equation of Plane, we get, x + y - 2 z = 3 Now applying relation to find Image of point about a Plane, we get, x - 2 1 = y - 1 1 = z - 6 - 2 = - 2 2 + 1 - 12 - 3 6 ⇒ x , y , z = 6 , 5 , - 2

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