MEDIUM
JEE Advanced
IMPORTANT
Earn 100

The four lines drawing from the vertices of any tetrahedron to the centroid of the opposite faces meet in a point whose distance from each vertex is times the distance from each vertex to the opposite face, where is
(a)
(b)
(c)
(d)

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Important Questions on Three Dimensional Coordinate System
MEDIUM
JEE Advanced
IMPORTANT
The shortest distance from to the line of intersection of the pair of planes is

MEDIUM
JEE Advanced
IMPORTANT
The shortest distance between the two lines is equal to

MEDIUM
JEE Advanced
IMPORTANT
and are the cofactors of the elements for If and are the direction cosines of three mutually perpendicular lines, then and are

MEDIUM
JEE Advanced
IMPORTANT
If is a tetrahedron such that each and has a right angle at . If , and , then is

HARD
JEE Advanced
IMPORTANT
In a regular tetrahedron, if the distance between the midpoints of opposite edges is unity, then its volume is

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JEE Advanced
IMPORTANT
A variable plane makes intercepts on and -axes and it makes a tetrahedron of volume cu. The locus of foot of perpendicular from origin on this plane is

MEDIUM
JEE Advanced
IMPORTANT
If are four coplanar points on the sidesof a skew quadrilateral, then equals

MEDIUM
JEE Advanced
IMPORTANT
Given the equations of the line . Then which of the following is correct?
