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Find the equation of the line passing through the point P(4,6,2) and the point of intersection of the line \( \frac{x-1}{3}=\frac{y}{2}=\frac{z+1}{7} \) and the plane \( x+y-z=8\).
cbse
class12
modelpaper
2012
sec-b
q21
math
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Feb 11, 2013
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thanvigandhi_1
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Dec 31, 2012
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Feb 2, 2013
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Find the equation of a line passing through the point (2,1,3) and perpendicular to the lines $ \large\frac{x-1}{1} = \frac{y-2}{2} = \frac{z-3}{3}$ and $\large\frac{x}{-3}=\frac{y}{2}=\frac{z}{5} $.
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Feb 2, 2013
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Find the equation of the line passing through the point (-1, 3, -2) and perpendicular to the lines $\large \frac{x}{1}=\large\frac{y}{2}=\large\frac{z}{3} $ and $\large\frac{x+2}{-3}=\frac{y-1}{2}=\frac{z+1}{5}. $
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Jan 10, 2013
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Find the equation of the plane passing through the line of intersection of the planes \(\overrightarrow r. (\hat i + \hat j + \hat k)=1\) and \( \overrightarrow r. (2\hat i + 3\hat j - \hat k) + 4 = 0\) and parallel to \(x\) - axis.
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Dec 14, 2012
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cbse
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Find the equation of the line through A(5,-3,2) and through the intersection $\large \frac{x-2}{1} = \frac{y-3}{5} = \frac{z-4}{4}$ and $ \large\frac{x-4}{3} = \frac{y-2}{4} = \frac{z+3}{-3} $
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Jan 27, 2013
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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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