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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
- Find the vector equation of the line passing through the point (1,2,-4...
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- Prove that if a plane has intercepts a,b,c and is at a distance of p u...
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- Find the Distance between the two planes 2x+3y+4z=4 and 4x+6y+8z=12
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- The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :
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- The x, co-ordinate of a point on the line joining the points Q (2, 2, ...
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- Find the distance of the point (-1 , -5 , -10) from the point of inter...
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- Find the equation of a plane which is at a distance 3sqrt3 units from ...
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- Find the equation of the two lines through the origin which intersect ...
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- The plane ax+by=0 is rotated through an angle alpha about its line of ...
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- Show that the sequence t n defined by t n = 3 n + 1 is an AP.
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- Prove that the lines, whose direction cosines are given by al+bm+cn=0,...
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- Prove that the lines, whose direction cosines are given by al+bm+cn=0,...
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- Using converse of Basic Proportionality theorem prove that the line jo...
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- Verify that <(l1+l2+l3)/sqrt3,(m1+m2+m3)/sqrt3,(n1+n2+n3)/sqrt3> can b...
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- Find the vector equation of the line passing through (1, 2, 3) and per...
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- The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular ...
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- Prove that the line joining the points vec(6a)-vec(4b)+vec(4c) and -ve...
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- Find the vector equation of the line passing through (1, 2, 3) and par...
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- Find the vector equation of the line passing through the point (1,2,-4...
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- Find the co-ordinates of the points where the line through the points ...
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