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CBSE XII
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Show that the four points ( 0, -1, -1 ), ( 4, 5, 1 ) and (-4, 4, 4 ) are coplanar. Also find the equation of the plane containing them.
cbse
class12
modelpaper
2011
sec-b
q21
math
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asked
Dec 28, 2012
by
thanvigandhi_1
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Show that the lines $ \large\frac{x+3}{-3} = \frac{y-1}{1} = \frac{z-5}{5} $ and $\large \frac{x+1}{-1} = \frac{y-2}{2} = \frac{z-5}{5} $ are coplanar. Also find the equation of the plane.
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Dec 26, 2012
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Find the equation of the plane passing through the points (0,-1,-1), (4,5,1) and (3,9,4).
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Find the equation of the plane passing thriugh a point (3, -3, 1) and normal to the line joining the points (3, 4,-1) and (2, -1, 5).
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Find the equation of the plane passing through the points (2, 3, 2), (2, -2, -1) and (7, 0, 6).
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Find the equation of the plane passing through the points ( 1, 2, 3 ) and (0, -1, 0 ) and parrallel to the line, \( \large\frac{x-1}{2} = \frac{y+2}{3} = \frac{z}{-3} \).
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Find the vector equation of the line parallel to the line \( \large\frac{x-1}{5} = \frac{3-y}{2} = \frac{z+1}{4}\) and passing through (3, 0, -4). Also, find the distance between these two lines.
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Jan 22, 2013
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