Tag: different forms of equation of a plane
Questions Related to different forms of equation of a plane
A variable plane moves so that the sum of reciprocals of its intercepts on the three coordinate axes is constant $\lambda$. It passes through a fixed point, which has coordinates
A plane meets the coordinate axes in $A, B, C$ such that the centroid of the triangle $ABC$ is the point $(1,\, r,\, r^2)$. The plane passes through the point $(4, 8, 15)$, if $r$ is equal to
If from the point $P(f, g, h)$ perpendiculars $PL, PM$ be drawn to $yz$ and $zx$ planes then the equation to the plane $OLM$ is -
If $5, 3, 2$ are the direction ratios of a normal to the plane passing through the point $(2, 3, 1)$, then the sum of the intercepts made by the plane on the $x$ -axis and $y$ - axis is
Equation of the plane whose intercepts are $1,2,3$ is
$5, 7$ are the intercepts of a plane on the $y$ - axis, $z$ - axis respectively. If the plane is parallel to the $x$-axis, then the equation of that plane is
The sum of the intercepts of the plane which bisects the line segment joining $(0,1,2)$ and $(2,3,0)$ perpendicularly is
lf a plane meets the coordinate axes at $A,B,C$ , then equation of plane is such that centroid of triangle $ABC$ is $\left (\displaystyle \dfrac{1}{3}\dfrac{2} {3},\dfrac{4}{3}\right)$
If from a point $P(a,b,c)$ perpendicular $PA$ and $PB$ are drawn to $yz$ and $zx$ planes, find the equation of the plane $OAB$:
The equation of the plane which is parallel to y-axis and cuts off intercepts of length 2 and 3 from x-axis and z-axis is :
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