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If the angle theta between the (x+1)/1=(...

If the angle `theta` between the `(x+1)/1=(y-1)/2=(z-2)/2` and the plane `2x-y+sqrtlambdaz+4=0` is such that sin `theta =1/3` , the value of `lambda` is :

A

minus 4/3

B

44289

C

minus 3/5

D

44260

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The correct Answer is:
D
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  2. The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and t...

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  3. If the angle theta between the (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2...

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  4. The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

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

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

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

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  9. A line AB in three-dimensional space makes angles 45^@ and 120^@ with ...

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

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

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

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

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

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  15. The ratio in which the plane vec r . (i-2j+3k) =17 divides the line jo...

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

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  18. The sine of the angle between the straight line (x-2)/3 = (y-3)/4 = (z...

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  19. If the direction cosines of a line are 1/c, 1/c, 1/c then,

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  20. The equation of the right bisector plane of the segment joining (2,3,...

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