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A line with direction cosines proportion...

A line with direction cosines proportional to 2,1,2 meet each of the lines `x=y+a=z nd x+a=2y=2z`. The coordinastes of each of the points of intersection are given by (A) `(3a,2a,3a),(a,a,2a)` (B) `(3a,2a,3a),(a,a,a0` (C) `(3a,3a,3a),(a,a,a)` (D) `92a,3a,3a),(2a,a,a0`

A

`(2a,a,3a),(2a,a,a)`

B

`(3a,2a,3a),(a,a,a)`

C

`(3a,2a,3a),(a,a,2a)`

D

`(3a,3a,3a),(a,a,a)`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-LINE-Competitive Thinking
  1. Lines vecr=(3+t)hati+(1-t)hatj+(-2-2t)hatk,tinR and x=3+k,y=1-k,z=-2-2...

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  2. The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1a ...

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

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  4. The line (x+1)/(-10)=(y+3)/(-1)=(z-4)/1 and (x+10)/(-1)=(y+1)/(-3) =(z...

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  5. The lines (x-1)/(1)=(y-1)/(2)=(z-1)/(3) and (x-4)/(2)=(y-6)/(3)=(z-7)...

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  6. A line with direction cosines proportional to 2,1,2 meet each of the l...

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  7. The foot of the perpendicular drawn from the point (1,8,4) on the line...

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  8. The shortest distance between A(1,0,2) and the line (x+1)/(3)=(y-2)/(-...

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  9. Perpenficular distance of the point (1, 2, 3) from the line (x-6)/3=...

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  10. The distance of the point (-2,4,-5) from the line (x+3)/(3)=(y-4)/(5)=...

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  11. the distance of the point (2,3,4) from the line (1-x)=y/2=1/3(1+z)

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  12. The point in which the join of (-9, 4, 5) and (11, 0, -1) is met by t...

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  13. Find the image of the point (1,6,3) in the line x/1=(y-1)/2=(z-2)/3

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  14. The equation of line is (x-1)/(2)=(y+1)/(-2)=(z+1)/(1). The co-ordinat...

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  15. The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a...

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  16. The shortest distance between lines L(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(...

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

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

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  19. A line from the origin meets the lines (x-2)/1=(y-1)/-2=(z+1)/1 and (x...

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  20. Read the following passage and answer the questions. Consider the line...

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