12 JEE Main 2012 Three Dimensional Geometry previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2012 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 distance of the point -i+2 j+6 k from the straight line that passes through the point 2 i+3 j-4 k and is parallel t…
The values of a for which the two points (1, a, 1) and (-3,0, a) lie on the opposite sides of the plane 3 x+4 y-12 z+13…
If the lines (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/(1) intersect, then k is equal to
The coordinates of the foot perpendicular from the point (1,0,0) to the line (x-1)/(2)=(y+1)/(-3)=(z+10)/(8) are
An equation of a plane parallel to the plane x-2 y+2 z-5=0 and at a unit distance from the origin is
Statement 1: The shortest distance between the lines (x)/(2)=(y)/(-1)=(z)/(2) and (x-1)/(4)=(y-1)/(-2)=(z-1)/(4) is √(2…
If the three planes x=5,2 x-5 a y+3 z-2=0 and 3 b x+y-3 z=0 contain a common line, then (a, b) is equal to
A unit vector which is perpendicular to the vector 2 i-j+2 k and is coplanar with the vectors i+j-k and 2 i+2 j-k is
If a=i-2 j+3 k, b=2 i+3 j-k and c=r i+j+(2 r-1 k are three vectors such that c is parallel to the plane of a and b, the…
The equation of a plane containing the line (x+1)/(-3)=(y-3)/(2)=(z+2)/(1) and the point (0,7,-7) is
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