The coordinates of a point on the line (...

The coordinates of a point on the line `(x-1)/(2) = (y+1)/(-3) =z` at a disntance `4sqrt(14)` from the piont (1,-1,0) nearer the origin are .........

(9,-13,4)

`(8 sqrt(14),-12,-1)`

`(-8 sqrt(14,),12,1)`

`(-7,-11,4)`

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The plane passes through the point (1,-1,-1) and its normal is perpendicular to both the lines (x-1)/(1) = (y+2)/(-2) = (z-4)/(3) and (x-2)/(2) + (y+1)/(-1) = (z+7)/(-1) . The distance of the point (1,3,-7) from thise plane is ..........

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

The shortest distance the lines (x-3)/(3) = (y-8)/(-1) = (z-3)/(1) and...
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The direction cosines of line satisfy the relations lambda(l+m) = n an...
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The coordinates of a point on the line (x-1)/(2) = (y+1)/(-3) =z at a ...
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The symmetric from of the equation of the line x + y -z = 1 and 2x -3y...
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The direction ratios of there lines are (1,1,2),(3sqrt(3) - 1,sqrt(3) ...
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If the lines (x-2)/(1) = (y-3)/(1) = (4-z)/(lambda) and (x-1)/(lambda)...
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The image of the point (1,6,3) with respect to the line (x)/(1) = (y-1...
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The distance of the point P(-2,3,1) from the line harr(QR) through Q(-...
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If the lines 2x-y+3z + 4 = 0=ax + y-z + 2 and x-3y + z=0 =x + 2y + z +...
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The distance of the plane barr (12,-4,3) = 65 from the origin is ........
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The plane 2x - 3y + 6z + 9 =0 makes an angle with positive direciton o...
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The perpendicular distance between the planes 2x-y+ 2z = 1 and 4x - 2y...
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If the plane passing through (1,1,1),(1,-1,1) and (-1,3,-5) is also pa...
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The foot of perpendicular from the origin to the plane is (a,b,c). So ...
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The distance of the point (2,-3,6) from the plane 3x-6y+2z + 10 = 0 is...
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The line passing through point (2,-3,1) and (3,-4,-5) intersect the ZX...
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The angle between the line (x-1)/(1) = (2-y)/(1) = (z+1)/(1) and the p...
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The normal unit vector of the plane x-3y + 2z = 6 is ............
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The equation of the plane with normal 2 hati + hatj -2 hat k and at di...
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