Three Dimensional Geometry
A line 4x+3y=24 cut the x-axis at point A and cut the y-axis at point B then incentre of triangle OAB is (A) (4,4) (B) (4,3) (C) (3,4) (D) (2,2)
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Find the equation of the plane through the intersection of the planes 3x−4y+5z=10 and 2x+2y−3z=4 and parallel to the line x=2y=3z
Find the equation of the plane passing through the origin and perpendicular to each of the planes x+2y−z=1 and 3x−4y+z=5.
Find the equations of the planes parallel to the plane x−2y+2z−3=0, each one of which is at a unit distance from the point (1,1,1).
Find the vector equation of the plane passing through the point (1,1,1) and parallel to the plane r⋅(2i^−j^+2k^)=5.
Find the vector equation of the plane passing through the point (a,b,c) and parallel to the plane r⋅(i^+j^+k^)=2.
Find the equation of the plane mid-parallel to the planes 2x−3y+6z+21=0 and 2x−3y+6z−14=0.
Find the distance between the parallel planes 2x+3y+4z=4 and 4x+6y+8z=12.
Find the equation of the line passing through the point P(4,6,2) and the point of intersection of line 3x−1=2y=7z+1 and the plane x+y−z=8.