Three Dimensional Geometry questions
879 published questions with worked solutions.
- If bmatrix 2&1&-1 -1&2&1 1&-1&2 bmatrix bmatrix a bmatrix = bmatrix 4 0 -2 bmatrix then the distance of point P(a,b,c) from the...
- If the lines x-1 2 = y+1 3 = z-1 4 and x-3 1 = y-c 2 = z 1 intersect, then the radius of circle x^2+y^2-4x+10y+c=0 is
- If the centroid of a tetrahedron OABC is (1,2,-1) where O is the origin, A(a,2,3), B(1,b,2), C(2,1,c) are the other vertices,...
- The point of intersection of the two lines x-3 3 = y-3 -1 , z-1=0 and x-6 2 = z-1 3 , y-2=0 is .....
- Let A(2, 3, 0), B(0,3,2) and C(4,0,3) be vertices of a triangle then the area of the triangle is
- A plane meets the coordinate axes at points A, B and C, such that the centroid of a triangle ABC is (2, - 2 3 , 1 2 ). The...
- If the lines L_1: x-1 3 = y-2 2k = z-3 2 , L_2: x-1 3k = y-5 1 = z-6 -5 are perpendicular to each other then the equation of a...
- If the lines x-1 2 = y+1 3 = z-1 4 and x-2 1 = y+m 2 = z-2 1 intersects each other, then the value of m is ....
- If the points (1, 1, ) and (-3, 0, 1) are equidistant from the plane r (3 i + 4 j - 12 k ) + 13 = 0, then the value of are
- The angle between the line x+1 2 = y-2 1 = z-3 -2 and plane x-2y- z=3 is ^ -1 ( 2 2 3 ), then the value of is
- If the lines x-1 2 = y+1 3 = z-1 4 and x-3= y-k 2 =z intersect, then the value of k is
- If the line x-1 2 = y+1 3 = z-2 4 meets the plane x+2y+3z=15 at the point P, then the distance of P from the origin is
- The equation of line passing through the point (1,2,3) and perpendicular to the line x-2 3 = y-1 2 = z+1 -2 and x 2 = y -3 = z 1...
- If for some IR, the lines L_1: x+1 2 = y-2 -1 = z-1 1 and L_2: x+2 = y+1 5- = z+1 1 are coplanar, then the line L_2 passes...
- The perpendicular distance of the origin from the plane 2x+y-2z-18=0 is
- The plane 2x+3y+4z=1 meets X-axis in A, Y-axis in B and Z-axis in C. Then the centroid of is
- If the lines x+1 -10 = y+k -1 = z-4 1 and x+10 -1 = y+1 -3 = z-1 4 intersect each other, then the value of k is
- The equation of the line passing through the point (3, 1, 2) and perpendicular to the lines x-1 1 = y-2 2 = z-3 3 and x -3 = y 2...
- The area of the triangle with vertices (1, 2, 0), (1, 0, 2) and (0, 3, 1) is
- The Cartesian equation of a line passing through (1, 2, 3) and parallel to planes x-y+2z=5 and 3x+y+z=6 is
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