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A line with direction cosines proportion...

A line with direction cosines proportional to 2,1,2 meets each of the lines x=y+a=z and x+a=2y=2z. The coordinates of each of the points of intersection are given by

A

(2a, 3a, a)(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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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  6. If the angle theta between the (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2...

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  8. Let L be the line of intersection of the planes: 2x + 3y +z = 1 and ...

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  9. If the line passing through the point (5,1,a) and (3,b,1) crosses the ...

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

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  11. Let the line (x-2)/3=(y-1)/(-5)=(z+2)/2 lie in the plane x+3y-alpha z+...

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  13. The shortest distance between the lines (x-1)/2 = (y-2)/3 = (z-3)/4 an...

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  14. The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and t...

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  15. Equation of the line passing through (1,1,1) and parallel to the plane...

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  16. The line of intersection of the planes vec r . (3i-j+k) =1 and vec r ....

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  17. Given the line L=(x-1)/3 =(y+1)/2 =(z-3)/(-1) and the plane pi:x-2y-z=...

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  19. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6...

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  20. Equation of the plane containing the line vec r = i+j + lambda (2i+j+4...

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