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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(29)`

B

`sqrt(33)`

C

`sqrt(53)`

D

`sqrt(66)`

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

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

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

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

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  5. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

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  6. If the lines (x-2)/1=(y-3)/1=(x-4)/(-k) and (x-1)/k=(y-4)/2=(x-5)/1 a...

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  7. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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  8. If the lines (x+1)/(2)=(y-1)/(1)=(z+1)/(3)and(x+2)/(2)=(y-k)/(3)=(z)/(...

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  9. let Q be the foot of perpendicular from the origin to the plane 4x-3y+...

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  10. the acute angle between two lines such that the direction cosines l, m...

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  11. If two lines L, and L, in space, are definedby L1={x=lambda y+(sqrtla...

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  12. if the projections of a line segment on the x, y and z-axes in 3-dimen...

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  13. A B C is a triangle and A=(235)dotB=(-1,3,2)a n dC=(lambda,5,mu)dot If...

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  14. the equation of a plane through the line of intersection the planes x+...

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

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  16. The angle between the lines whose direction cosines satisfy the equ...

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  17. Equation of plane which passes through the intersection point of the l...

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  18. A line in 3-dimensional space makes an angle theta(0ltthetalepi//2) wi...

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  19. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

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  20. The plane containing the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and parall...

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