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Prove that if a plane has the intercepts a, b, c and is at a distance of p units from the origin, then $$1/a^2 + 1/b^2 + 1/c^2 = 1/p^2$$
cbse
class12
bookproblem
sec-c
difficult
math
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asked
Nov 2, 2012
by
balaji.thirumalai
retagged
Mar 19, 2014
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0
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1
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Prove that if a plane has the intercepts $a, b, c$ and is at a distance of $p$ units from the origin, then $\large\frac{1}{a^2}+\frac{1}{b^2}+\frac{1}{c^2} = \frac{1}{p^2}$.
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Nov 29, 2012
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Jan 23, 2013
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A variable plane is at a constant distance '3p' from the origin and meets the axes in A, B, C respectively, then show that locus of the centroid of \( \Delta \)ABC is $ \frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=\frac{1}{p^2} $
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Jan 14, 2013
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cbse
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