Mathematics Tes...

The line x+1/2 = y+1/3 = z+1/4 meets the plane x + 2y + 3z = 14, in the point :-

The distance of the point (1, –2, 3) from the plane x – y + z = 5 measured parallel to the line x/2 = y/3 = - z/6 is :-

The condition for the lines x = az + b, y = cz + d and x = a₁z + b₁, y = c₁z + d₁ to be perpendicular is :-

If two vertices of a ΔABC are (1, 2–√3, 4) and (2, √3 , 2) and the centroid of ABC is at point (1, 2/3, 2) then co-ordinates of its third vertex are :-

The angle between the diagonals of a cube is :-

The projection of any line segment on axes are 3, 4, 5 then length of the line segment is :-

Projection of the line segment joining the points (–1, 0, 3) and (2, 5, 1) on the line whose Dr's are 6, 2, 3 :-

Planes are drawn parallel to the co-ordinate planes through the points (1, 2, 3) and (3, –4, –5), then the lengths of the edges of the parallelepiped so formed are :-