Question bank/JEE Main/Mathematics
JEE MainMathematicsModerate3D
Equation of a plane which passes through the point of
intersection of lines [IMAGE] and [IMAGE] and at greatest distance from the point (0, 0, 0) is


Show answer and solution
Let a point [IMAGE] of the first line also lies
on the second line
Then [IMAGE] Hence the point of intersection P of the two lines is (4, 3, 5)
Equation of plane perpendicular to OP where O is (0, 0, 0) and passing
through P is



on the second line
Then [IMAGE] Hence the point of intersection P of the two lines is (4, 3, 5)
Equation of plane perpendicular to OP where O is (0, 0, 0) and passing
through P is



Source: Grass-G / M-15 Mathematics Paper 11 Nov.docx
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