Tag: different forms of equation of a plane
Questions Related to different forms of equation of a plane
The intercepts of the plane $2x-3y+5z-30=0$ are
If $A=(3,1,-2) , B=(-1,0,1)$ and $l, m$ are the projections of AB on the y-axis, zx plane respectively then $3l^2-m+1$=
A plane $
\pi
$ makes intercept 3 and 4 respectively on z-axis and x-axis. If $
\pi
$ is parallel to y-axis, then its equation is
The lengths of the intercepts on the co-ordinate axes made by the plane $5x+2y+z-13=0$ are
Equation of a plane making X-intercept $4$, Y-intercept ($-6$), Z-intercept $3$ is _______.
Two system of rectangular axes have the same origin. If a plane cuts them at distances, $a$, $b$, $c$ and ${a} _{1}$,${b} _{1}$ , ${c} _{1}$ from the origin, then
A plane $x-3y+5z=d$ passes through the point $(1,2,4)$. Intercepts on the axes are
From the point $P(a, b, c)$, let perpendiculars $PL$ and $PM$ be drawn to $YOZ$ and $ZOX$ planes, respectively. Then the equation of the plane $OLM$ is-
If the intercepts made on the axes by the plane which bisects the line joining the points $(1, 2, 3)$ and $(-3, 4, 5)$ at right angles are $(a,0,0), (0,b,0)$ and $(0,0,c)$ then $(a,b,c)$ is
A plane makes intercept $3$ and $4$ with $x$ and $z$ axes and parallel to y-axis is