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If G be centroid of the triangle with ve...

If G be centroid of the triangle with vertices `(1,2,0),(0,0,2) and (2,1,1)`, then equations of line OG are

A

`x=y=z`

B

`(x-1)/(1)=(y-1)/(1)=(z-1)/(0)`

C

`(x-1)/(1)=(y)/(1)=(z)/(1)`

D

`(x-1)/(1)=(y-1)/(-1)=(z-1)/(1)`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-LINE-Critical Thinking
  1. Find the vector equation of line passing through point (1,2,-4) and pe...

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  2. The equation of line passing through the midpoint of the line joining ...

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  3. If G be centroid of the triangle with vertices (1,2,0),(0,0,2) and (2,...

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  4. The equation of line is barr=barp+t(barq-barp), where P(barp)-=(3,4,1)...

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  5. If the line joining the points P(-2,1,-8) and Q(a,b,c) is in the direc...

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  6. If x co-ordinate of a point on the line joining points (2,2,1) and (5,...

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  7. The line joining points (3,4,1) and (5,1,6) meets XY-plane at the poin...

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  8. D.c.s of a line segment AB are (-2)/(sqrt(17)),(3)/(sqrt(17)),(-2)/(sq...

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  9. The lines barr=(2hati+hatj-3hatk)+((t)/(sqrt(6)))(2hati-hatj+hatk)an...

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  10. The lines vecr=(2hati-3hatj+7hatk)+lamda(2hati+phatj+5hatk) and ve...

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

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

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

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

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

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

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

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

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

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

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