Embibe Experts Solutions for Chapter: Three Dimensional Geometry, Exercise 1: JKCET 2017

What is the ratio in which the line segment joining the points $(-3,2,5)$ and $(6,3,2)$ is divided by the $XY$ - plane?

A straight line makes an angle of $30°,45°$ and $60°$ with the positive direction of $X-$axis, $Y-$axis and $Z-$axis respectively. What are the direction cosines of the straight line?

If $\alpha , \beta , \gamma$ are the angles made by a vector with the co-ordinate axes, then ${\sin }^2\alpha +{\sin }^2\beta +{\sin }^2\gamma =$

The $x$-coordinate of a point $A$ on the line joining the points $B(1,3,1)$ and $C(3,1,2)$ is $6 .$ What is the $y$-coordinate of the point $A$?

What will be the distance of point $(2, 4, -1)$ from the straight line given by $(x+5)=(y+3) / 4=(6-z)/9 ?$

What will be the coordinates of foot of perpendicular from the point $(1, 1.5, 2)$ to the plane $2\mathrm{x}-2\mathrm{y}+4\mathrm{z}+5=0 ?$

What will be the distance of $(1,0,2)$ from the point of intersection of plane $x-y+z=16$ and the line $(x-2)/3=(y+1)/4=(z-2)/12 ?$

The equation $xy=0$ in $3D$ space represents