The distance of the point (1,-5,9) from ...

The distance of the point (1,-5,9) from the plane x-y + z = 5 measured parallel to the line x = y =z is ..............

A

`3 sqrt(10)`

B

`10 sqrt(3)`

C

`10/(sqrt(3))`

D

`(20)/(3)`

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The correct Answer is:

B

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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)

The sum of the Y and Z intercepts made by the plane 3x + 4y -6z = 12 i...
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If the foot of perpendicular from the origin to the plane is (a,b,0) t...
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The distance of the point (1,-5,9) from the plane x-y + z = 5 measured...
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If the line (x-3)/(2) = (y +2)/(-1) = (z+4)/(3) is in the plane lx + ...
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If the distance between the palens 2x- y + 2z = 1 and 4x-2y + 4z = k...
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If the foot of perpendicular from origin to the plane is (1,2,3) then ...
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If the line (x-4)/(1) = (y-2)/(1) = (z+k)/(2) lies in the plane 2x -4y...
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The direction of the line of intersection of the planes 2x + 3y + z-1 ...
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The pane x+2y -2z = 6 makes the intercepts with the axes, The centroid...
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The angle between the lines (x-1)/(2) = (y+1)/(1) =(1-z)/2 and x = k +...
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The plane passes through the point (1,-1,-1) and its normal is perpend...
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The plane ax + by + cz = 1 intersects the axes in A, B and C respetive...
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The plane makes the angles (pi)/(4),(pi)/(4) and (pi)/(2) with the pos...
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The equation of the plane passing through the pionts (2,5,-3) and perp...
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The equation of the plane passing through the pionts (0,-4,-6) and (-2...
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The line joining the pionts (1,1,2) and (3,-2,1) meets the plane 3x + ...
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The plane passing through (5,1,2) and perpendicular to the line 2(x-2)...
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The intercepts on the axes cut off by the plane which is perpendicular...
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The equation of the plane passing through the intersection of the plan...
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If from the point (a,b,c) perpendiculars PL and PM be drawn to YOZ and...
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