JEE Main 2022 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2022

Let the lines ( − 2)/1 = (z − 3)/2 and (x + 26)/(−2) = (y + 18)/3 = be coplanar and P be the plane containing these two lines. Then which of the following points does NOT lie on P?

Answer: (4)

Solution

The lines pass through , 2, 3) with direction (, 1, 2) and = (−26, −18, −28) with direction (−2, 3, ). For coplanarity : |−27 −20 −31; 1 2; −2 3 , which gives

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Question ID VK-034700