A variable plane passes through a fixed ...

A variable plane passes through a fixed point a,b,c and meet the co-ordinates axes in A,B,C. Show that the locus of the point common to the planes through A,B,C parallel to the co-ordinate planes is `a/x+b/y+c/z=1`

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE

A variable plane passes through a fixed point a,b,c and meet the co-or...
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Find the points on z-axis which are at a distance of sqrt21 from the p...
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Find k so that the distance between the points (7, 1, - 3) and (4,5, k...
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Find the point on x-axis which is equidistant from the point (1,3,2) a...
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Find the point which is equidistant from the points (a,0,0),(0,b,0),(0...
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Show that the points (2,4,3),(4,1,9) and (10,-1,6) are the vertices of...
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Find the locus of a point which is equidistant from the points (3,2,1...
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Find the point in the XY-plane which is equidistant from the points (2...
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Prove that the point A (0,0,0),B(2,0,0),C(1,sqrt3,0) and D(1,1/sqrt3, ...
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Find the coordinates of the point which divides the join of the points...
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Find the points on the line segment PQ situated at 2/3 of the distan...
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Find the points on the line segment PQ situated at 2/3 of the distan...
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If A and B are two points whose position vectors are 3hati+2hatj-2hatk...
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If A and B are two points whose position vectors are 3hati+2hatj-2hatk...
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Find the coordinates of the point which is three fifth of the way (3,4...
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Find the ratio in which the line segment joining : (1,2,3) and (-3,4,-...
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If A and B are the points (-3,4,-8) and (5,-6,4) respectively, find th...
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Using section formula, prove that the three points (-2,3,5),(1,2,3) an...
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Show that the points : (4, 7, 8), (2, 3, 4), (- 1, - 2, 1), (1, 2, 5) ...
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Using vectors, show that the medians of a triangle are concurrent.
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Prove that the points A(5,0,2), B(2,-6,0),C(4,-9,6) and D(7,-3,8), tak...
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