Three Dimensional Geometry questions
879 published questions with worked solutions.
- The point in which the joint of (-9, 4, 5) and (11, 0, -1) is met by the perpendicular from origin is
- A straight line with direction cosines 0, 1, 0 is
- (0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c) are four distinct points. What are the coordinates of the point which is...
- The points P(3, 2, 4), Q(4, 5, 2), R(5, 8, 0) and S(2, -1, 6) are
- The line passing through the points (1, 2, -1) and (3, -1, 2) meets the yz-plane at which one of the following points?
- Under which one of the following conditions are the lines x=ay+b; z=cy+d and x=ey+f; z=gy+h perpendicular?
- The length of the normal from origin to the plane x+2y-2z=9 is equal to
- If , and are the angles which the vector OP (O being the origin) makes with positive direction of the coordinate axes, then which...
- The point of intersection of the line joining the points (-3, 4, -8) and (5, -6, 4) with the XY-plane is
- If the angle between the lines whose direction ratios are 2, -1, 2 and x, 3, 5 is 4 , then the smaller value of x is
- A variable plane passes through a fixed point (a, b, c) and cuts the axes in A, B and C respectively. The locus of the centre of...
- The equation of the plane passing through the line of intersection of the planes x+y+z=1, 2x+3y+4z=7, and perpendicular to the...
- Let the coordinates of the points A, B, C be (1, 8, 4), (0, -11, 4) and (2, -3, 1) respectively. What are the coordinates of the...
- What is the equation of the plane passing through the points (-2, 6, -6), (-3, 10, -9) and (-5, 0, -6)?
- The coordinates of the vertices P, Q and R of a triangle PQR are (1, -1, 1), (3, -2, 2) and (0, 2, 6) respectively. If RQP= ,...
- What is the distance of the point (2, 3, 4) from the plane 3x-6y+2z+11=0?
- Coordinates of the points O, P, Q and R are respectively (0, 0, 0), (4, 6, 2m), (2, 0, 2n) and (2, 4, 6). Let L, M, N and K be...
- The line x-1 2 = y-2 3 = z-3 4 is given by
- Consider the following statements : 1. The angle between the planes 2x-y+z=1 and x+y+2z=3 is 3 . 2. The distance between the...
- What is the distance between the points P(m 2 , m 2 ) and Q(m 2 , m 2 )?
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