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The length of the perpendicular drawn fr...

The length of the perpendicular drawn from the point `(3,-1,11) ` to the line `x/2=(y-2)/3=(z-3)/4` is (A) `sqrt(33)` (B) `sqrt(53` (C) `sqrt(66)` (D) `sqrt(29)`

A

`sqrt29`

B

`sqrt33`

C

`sqrt53`

D

`sqrt65`

Text Solution

Verified by Experts

The correct Answer is:
C
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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY-AIEEE/JEE Examination
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  2. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

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  3. If the distance of the point P (1,-2, 1) from the plane x + 2y - 2z = ...

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  4. If the angle between the line x =(y-1)/2=(z-3)/lambda and the plane x+...

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  5. The length of the perpendicular drawn from the point (3,-1,11) to the...

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  6. The distance of the point (1,-5,9) from the plane x-y+z=5 measured alo...

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  7. If the lines : (x-1)/2 =(y+1)/3 =(z-1)/4 and (x-3)/1=(y-k)/2 =z/1 in...

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  8. An equation of a plane parallel to the plane x - 2y + 2z -5 = 0 and at...

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  9. The equation of a plane passing through the line of intersection of th...

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  10. The point P is the intersection of the straight line joining the point...

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  11. Lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-K) and (x-1)/(K)=(y-4)/(2)=(z-5)/(1)...

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  12. Distance between two parallel planes: 2x + y + 2z = 8 and 4x + 2y + 4z...

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  13. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane : 2x-y+z...

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  14. The angle between the lines whose direction cosines satisfy the equati...

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  15. The distance of the point (1, 0, 2) from the point of intersection of ...

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  16. The equation of the plane containing the line: 2x - 5y + z = 3, x + ...

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