Three Dimensional Geometry questions
8 published questions with worked solutions.
- Let the plane P pass through the intersection of the planes 2x + 3y – z = 2 and x + 2y + 3z = 6, and be perpendicular to the...
- The point of intersection C of the plane 8x + y + 2z = 0 and the line joining the points A(–3, –6, 1) and B(2, 4, –3) divides the...
- Let + + = 1 be the equation of a plane passing through the point (3, –2, 5) and perpendicular to the line joining the points (1,...
- Let the image of the point P(2, –1,3) in the plane x + 2y – z = 0 be Q. Then the distance of the plane 3x + 2y + z + 29 = 0 from...
- A(2, 6, 2), B(–4, 0, ), C(2, 3, –1) and D(4, 5, 0), | | 5 are the vertices of a quadrilateral ABCD. If its area is 18 square...
- Let the line L pass through the point (0, 1, 2), intersect the line x-1 2 = y-2 3 = z-3 4 and be parallel to the plane 2x + y –...
- A plane P contains the line of intersection of the plane r .( i + j + k )=6 and r .(2 i +3 j +4 k )=-5. If P passes through the...
- If the lines x-1 2 = 2-y -3 = z-3 and x-4 5 = y-1 2 = z intersect, then the magnitude of the minimum value of 8 is __________.
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