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JEE Main20202 Sep 2020Morning ShiftMathematicsThree Dimensional GeometryActual

The plane passing through the points 1 , 2 , 1 , 2 , 1 , 2 and parallel to the line, 2 x = 3 y , z = 1 also passes through the point

Options

  1. A( 0 , 6 , - 2 )
  2. B( - 2 , 0 , 1 )
  3. C0 ,   - 6 ,   2
  4. D2 ,   0 , -   1

Correct answer

B. ( - 2 , 0 , 1 )

Step-by-step solution

Equation of plane passes through 2 ,   1 ,   2 is a x   –   2 + b y   –   1 + c z   –   2 =   0 It also passes through 1 ,   2 ,   1   ∴ – a   +   b   –   c   =   0   ⇒   a   –   b   +   c   =   0   . . . ( 1 ) Given line can be written as x 3 = y 2 = z - 1 0 Now this line is parallel to 1 ⇒ 3 a   +   2 b   + &#160

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