HARD
JEE Main/Advance
IMPORTANT
Earn 100

Find the shortest distance between any two opposite edges of a tetrahedron formed by the planes
(a)
(b)
(c)
(d)

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Important Questions on Three Dimensional Geometry
HARD
JEE Main/Advance
IMPORTANT
Equation of plane which passes through the point of intersection of lines and and at greatest distance from the point is

HARD
JEE Main/Advance
IMPORTANT
The non zero value of for which the line and are co-planar is

MEDIUM
JEE Main/Advance
IMPORTANT
A line having direction ratios lies on -plane is rotated about -axis by an angle . Now the new position of is . The angle between is

HARD
JEE Main/Advance
IMPORTANT
Given three point on plane as . Point is moving on the plane satisfying the condition . If the maximum & minimum values of are respectively then the value of is

HARD
JEE Main/Advance
IMPORTANT
If represents the position vector of point in which the line cuts the plane where the position vectors of points are respectively and then is

HARD
JEE Main/Advance
IMPORTANT
Line is parallel to vector and passes through a point and line is parallel to a vector and passes through a point Now, a line parallel to a vector intersects the lines and at points and respectively, then is equal to ?

HARD
JEE Main/Advance
IMPORTANT
The value of where is the acute angle between the plane faces of a regular tetrahedron, is

HARD
JEE Main/Advance
IMPORTANT
and are the circum-radius and in-radius of a regular tetrahedron respectively in terms of the length of each edge. If where , then absolute minimum value of is
