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CBSE XII
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Model Papers
Find the vector and cartesian equation of the sphere described on the join of the points (2, -3, 4 ) and (-5, 6, -7 ) as the extremities of a diameter.
cbse
class12
modelpaper
2012
sec-b
q21
math
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asked
Jan 2, 2013
by
thanvigandhi_1
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Related questions
Find the shortest distance between the following pairs of lines whose vector equation are $ \overrightarrow r = 3\hat i + 8\hat j + 3\hat k + \lambda(3\hat i - \hat j + \hat k)\: and \: \overrightarrow r = -3\hat i - 7\hat j + 6\hat k + \mu(-3\hat i + 2\hat j + 4\hat k) $
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Find the vector and cartesian equationof the sphere on the join of the points $A$ and $B$ having position vectors $\overrightarrow{2i}+\overrightarrow{6j}-\overrightarrow{7k}$ and $-\overrightarrow{2i}+\overrightarrow{4j}-\overrightarrow{3k}$ respectively as a diameter . Find also the centre and radius of the sphere.
tnstate
class12
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Apr 8, 2013
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1
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Find the equation of the plane passing through the points (2, 3, 2), (2, -2, -1) and (7, 0, 6).
cbse
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modelpaper
2012
sec-b
q21
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Jan 10, 2013
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Show that points ( -6, 3, 2 ) ( 3, -2, 4 ) (5, 7, 3 ) and ( -13, 17, -1 ) are coplaner.
cbse
class12
modelpaper
2012
sec-b
q21
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Dec 24, 2012
by
thanvigandhi_1
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Find the vector equation of the plane, passing through the points A(2,2,-1), B(3,4,2) and C(7,0,6). Also, find the cartesian equation of the plane.
cbse
class12
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2012
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Feb 6, 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.
cbse
class12
modelpaper
2012
sec-b
q21
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Jan 22, 2013
by
thanvigandhi_1
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Find the equation of plane passing through the point (1,2,1) and perpendicular to the line joining the points (1,4,2) and (2,3,5). Also, find the perpendicular distance of the plane from the origin.
cbse
class12
modelpaper
2012
sec-b
q21
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
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