The distance of a point from a plane is ...

The distance of a point from a plane is same as the distance of the point from any line lying in that plane.

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Show that the relation R on the set A of points in a plane given by R ={(P,Q): distance of the point P from the origin is same as the distance of the point Q from the origin) is an equivalence relation. Further, show that the set of all points related to a point P ne (0,0) is the circle passing through P with origin as centre.

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ARIHANT PUBLICATION-THREE-DIMENSIONAL GEOMETRY-Odisha Bureau.s Textbooks Solutions (Exercise 13(b)) (True (T) or False (F))

State True or False .The planes 2x - y + z -1 = 0 and 6x - 3y + 3z = 1...
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State true or False .The planes 2x +4y -z + 1 = 0 and x - 2y - 6z + 3 ...
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The distance of a point from a plane is same as the distance of the po...
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The equation of a plane passing through (1, 1, 2) and parallel to x + ...
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The equation of plane perpendicular to z-axis and passing through (1, ...
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The distance between the parallel planes 2x - 3y + 6z +1 = 0 and 4x - ...
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The plane y-z+1=0 is
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A plane whose normal has direction ratios lt 3, -2, k gt is parallel t...
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Find the equation of planes passing throught the points (6,-1,1), (5,1...
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Find the equation of planes passing throught the points (2,1,3),(3,2,1...
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Find the equation of planes passing throught the points (-1,0,1),(-1,4...
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Find the equation of planes passing throught the points (-1,5,4),(2,3,...
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Find the equation of planes passing throught the points (1,2,3),(1,-4,...
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Find the equation of the plane .Passing through the point (2,3-1) and ...
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Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...
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Find the equation of the plane passing through the foot of the perpend...
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passing through the point (-1,3,2) perpendicular to the planes x+2y+...
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Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...
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Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...
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Write the equation of the plane 3x-4y+6z-12=0 in intercept from and he...
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