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JEE Main202117 Mar 2021Morning ShiftMathematicsThree Dimensional GeometryActual

The equation of the plane which contains the y -axis and passes through the point 1 , 2 , 3 is:

Options

Ax + 3 z = 10
Bx + 3 z = 0
C3 x + z = 6
D3 x - z = 0

Correct answer

D. 3 x - z = 0

Step-by-step solution

n → = j ^ × ( i ^ + 2 j ^ + 3 k ^ ) = 3 i ^ + 0 j ^ - k ^ So, ( 3 ) ( x - 1 ) + 0 ( y - 2 ) + ( - 1 ) ( z - 3 ) = 0 ⇒ 3 x - z = 0

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