Three Dimensional Geometry questions
879 published questions with worked solutions.
- The centroid of tetrahedron with vertices P(5,-7,0), Q(a,5,3), R(4,-6,b) and S(6,c,2) is (4,-3,2), then the value of 2a+3b+c is...
- The values of p and q so that the line joining the points (7, p, 2) and (q, -2, 5) may be parallel to the line joining the points...
- If d is the distance of point (2, 5, 10) from the plane containing the lines r=(4 j- k)+ ( i+2 j-2 k) and r=(2 i+ j)+ ( i+2 j-2...
- The vector equation of plane in parametric form, passing through the points (-1, 2, 0), (2, 2, -1) and parallel to the line x-1 1...
- The equation of a line in cartesian form passing through (0 and (4, 3, c) and parallel to a b where a=2 i+ j+2 k, b=3 i-4 j is
- If the lines 2x=ky=-z and 6x=-y=-4z are perpendicular to each other then the value of k is...
- If the product of the distances of the point (1, 2, 3) from the origin and the plane 2x-3y+z+k=0 is 7, then the value of k is
- The lines x-1 -1 = y+2 1 = z-3 -2 and x-1 1 = y+2 1 = z+1 -2 are
- The direction ratios of the normal to the plane passing through (1, 0, 0), (0, 1, 0) which makes an angle of measure 45^ with the...
- The co-ordinates of the root of the perpendicular from the point (0, 2, 3) on the line x+3 5 = y+1 2 = z+4 3 is
- A line having direction ratios 1, -4, 2 intersects the lines x-7 3 = y-1 -1 = z+2 1 and x 2 = y-7 3 = z 1 at the points A and B...
- A plane makes positive intercepts of unit length on each of X and Y axis. If it passes through the point (-1, 1, 2) and makes...
- The equation of plane through the point (2, -1, -3) and parallel to lines x-1 3 = y+2 2 = z -4 and x 2 = y-1 -3 = z-2 2 is
- The equation of the plane, passing through the intersection of the planes x+y+z=1 and 2x+3y-z+4=0 and parallel to Y - axis, is
- A line with positive direction cosines passes through the point P (2, -1, 2) and makes equal angles with co-ordinate axes. The...
- If the distance of point B(2, 1, -3) from the line passing through the point A(4,-2,2), and parallel to the vector c = -4 i - 6 j...
- If A and B are the feet of the perpendiculars drawn from (1, 2, 3) to planes YZ and ZX, then the equation of the plane passing...
- The sum of the coordinates of one of the points on the line x-2 1 = y+3 -2 = z+5 2 which is at a distance of 3 units from the...
- The angle between the line x - 1 = 2 - y = 2z-6 4 and the plane r (2 i + j + k ) = 10 is
- The equation of the perpendicular line from the point (2,-3,1) to the line x+1 2 = y-3 3 = z+2 -1 is
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