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The length of perpendicular from the ori...

The length of perpendicular from the origin to the line `vecr=(4hati=2hatj+4hatk)+lamda(3hati+4hatj-5hatk)` is (A) 2 (B) `2sqrt(3)` (C) `6 (D) 7

A

`2sqrt(5)`

B

2

C

`5sqrt(2)`

D

6

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Verified by Experts

The correct Answer is:
D
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TARGET PUBLICATION-LINE-Critical Thinking
  1. The lines vecr=(2hati-3hatj+7hatk)+lamda(2hati+phatj+5hatk) and ve...

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  2. If the lines (x-1)/(2)=(y-1)/(lambda)=(z-3)/(0) and (x-2)/(1)=(y-3)/...

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  3. The lines and (x-1)/(3)=(y-2)/(4)=(z-3)/(5) (x-1)/(2)=(y-2)/(3)=(z-3)...

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  4. Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...

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  5. If the sum of the squares of the distances of a point from the three c...

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  6. The foot of perpendicular from the point (1,2,3) to the line (x)/(2)=(...

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  7. The co-ordinates of the foot of the perpendicular from the point (3,-1...

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  8. Find the foot of the perpendicular from the point (0,2,3) on the line ...

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  9. The length of perpendicular from the origin to the line vecr=(4hati=2h...

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  10. The length of the perpendicular drawn from the point (5,4,-1) on the l...

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  11. The length of perpendicular from (2, -1, 5) to the line (x-11)/(10)=(y...

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  12. The co-ordinates of a point on the line (x-1)/(2)=(y+1)/(-3)=z at a di...

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  13. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

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  14. Find the equation of the perpendicular drawn from the point (2,4,-1) t...

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  15. Two lines (x)/(1)=(y)/(2)=(z)/(3)and(x+1)/(1)=(y+2)/(2)=(z+3)/(3) are

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  16. Find the shortest distance between the following pair of line: vecr=(1...

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  17. The shortest distance between lines barr=(lambda-1)hati+(lambda+1)hatj...

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  18. If the lines (x-1)/(k)=(y+1)/(3)=(z-1)/(4)and(x-3)/(1)=(2y-9)/(2k)=(z)...

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  19. Find the angle between the line: vecr=4hati-hatj+lamda(hati+2hatj-2hat...

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  20. A line segment has length 63 and direction ratios are 3, -2, 6. The ...

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