List of top Mathematics Questions on introduction to three dimensional geometry asked in AP EAPCET

The ratio in which the $xy$-plane divides the line segment joining the points $(2, 4, 5)$ and $(3, 5, -4)$ is:

If the coordinates of the vertices of a triangle \(ABC\) are \[ A(7,6,4),\quad B(5,4,6),\quad C(3,2,0) \] and the bisector of \(\angle BAC\) meets the side \(BC\) at \(D\), then the coordinates of \(D\) are:

If the direction cosines of a line satisfy the relations \[ l-m+n=0 \] and \[ lm+mn-4nl=0, \] then the direction cosines of the line are: