54 JEE Main 2021 Three Dimensional Geometry previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2021 previous-year questions from the Three Dimensional Geometry chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Three Dimensional Geometry chapter hub.
The equation of the line through the point 0 , 1 , 2 and perpendicular to the line x - 1 2 = y + 1 3 = z - 1 - 2 is :
Let L be the line of intersection of planes r → · ( i ^ - j ^ + 2 k ^ ) = 2 and r → · ( 2 i ^ + j…
The vector equation of the plane passing through the intersection of the planes r → · i ^ + j ^ + k ^ = 1 an…
Let Q be the foot of the perpendicular from the point P ( 7 , - 2 , 13 ) on the plane containing the lines x + 1 6 = y…
If the foot of the perpendicular from point 4 , 3 , 8 on the line L 1 : x - a l = y - 2 3 = z - b 4 , l ≠ 0 is 3…
Let the position vectors of two points P and Q be 3 i ^ - j ^ + 2 k ^ and i ^ + 2 j ^ - 4 k ^ , respectively. Let R and…
If the shortest distance between the straight lines 3 ( x - 1 ) = 6 ( y - 2 ) = 2 ( z - 1 ) and 4 ( x - 2 ) = 2 ( y - &…
If the equation of plane passing through the mirror image of a point 2 ,   3 ,   1 with respect to line x + 1…
Let L be a line obtained from the intersection of two planes x + 2 y + z = 6 and y + 2 z = 4 . If point P α , ^…
The square of the distance of the point of intersection of the line x - 1 2 = y - 2 3 = z + 1 6 and the plane 2  …
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