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The equation of line is barr=barp+t(barq...

The equation of line is `barr=barp+t(barq-barp)`, where `P(barp)-=(3,4,1)andQ(barq)-=(5,1,6)`. The value of t for which the line crosses XY - plane is

A

`t=(-1)/(sqrt(5))`

B

`t=(-1)/(5)`

C

`t=(1)/(4)`

D

`t=(1)/(6)`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-LINE-Critical Thinking
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  7. D.c.s of a line segment AB are (-2)/(sqrt(17)),(3)/(sqrt(17)),(-2)/(sq...

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

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

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

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

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

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

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

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

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

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

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

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

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

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