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If the angle theta between the line (x+1...

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

A

`-(4)/(3)`

B

`(3)/(4)`

C

`-(3)/(5)`

D

`(5)/(3)`

Text Solution

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The correct Answer is:
(d)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

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  3. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

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  4. The length of the perpendicular drawn from the point (3, -1, 11) to th...

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  5. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

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  6. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

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  7. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

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

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  9. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

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  10. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

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

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  12. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

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  13. If a line makes an angle of pi/4 with the positive directions of each ...

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  14. If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-...

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  15. The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...

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

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  17. If the plane 2ax-3ay+4az+6=0 passes through the mid point of the line ...

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  18. If the angle theta between the line (x+1)/(1) = ( y-1)/(2) = (z-2)/(2)...

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  19. The angle between the lines 2x=3y=-z and 6x=-y=-4z is

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  20. The plane x+2y-z=4 cuts the sphere x^(2)+y^(2)+z^(2)-x+z-2=0 in a circ...

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