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Find the equation of the plane passing through the line intersection of the plane \( x-2y+z=1\) and \( 2x+y+z=8\) and parallel to the line with direction ratios 1,2,1. Also, find the perpendicular distance of the point P(3,1,2) from this plane.
cbse
class12
modelpaper
2012
sec-c
q27
math
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Feb 2, 2013
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thanvigandhi_1
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votes
0
answers
Find the equation of the plane passing through the intersection of planes \( 4x-y+z=10\: and \: x+y-z=4\) and parallel to the line with direction ratios < 2, 1, 1>. Find also the perpendicular distance of (1, 1, 1) from the plane.
asked
Jan 30, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q24
math
0
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0
answers
Find the equation of the line passing through the point (-1, 3, -2) and perpendicular to each of the lines $ \large\frac{x}{1} = \frac{y}{2} = \frac{z}{3}$ and $\large\frac{x+2}{-3} = \frac{y-1}{2} = \frac{z+1}{5} $. Also, find its vector equation.
asked
Jan 28, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q27
math
0
votes
0
answers
Find the equation of plane through the intersection of the plane \( x+y+z=9 \: and \: 2x+3y+4z+5=0 \) and passing through the point (1,1,1).
asked
Jan 27, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q27
math
0
votes
0
answers
Find the equation of the plane passing through the point (-1,3,2) and perpendicular to each of the planes : $ x+2y+3z=5 \: and \: 3x+3y+z=0 $
asked
Feb 5, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q27
math
0
votes
0
answers
Find the coordinates of the foot of the perpendicular distance of the poit (1, 3, 4) from the plane \( 2x - y + z + 3 = 0 \). Find also, the image of the point in the plane.
asked
Dec 25, 2012
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q27
math
0
votes
0
answers
Find the equation of the plane passing through the point P(1,1,1) and containing the line \( \overrightarrow r = (-3\hat i + \hat j + 5\hat k)+ \lambda (3\hat i - \hat j - 5\hat k).\). Also show that the plane contains the line \( \overrightarrow r = (-\hat i + 2\hat j + 5\hat k)+ H (\hat i - 2\hat j - 5\hat k).\)
asked
Feb 4, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q27
math
0
votes
0
answers
From the distance of the point (2,3,4) from the line \( \large\frac{x+3}{3} = \frac{y-2}{6} = \frac{z}{2} \) measured parallel to the plane $3x+2y+2z+5=0.$
asked
Jan 26, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q27
math
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