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The direction cosines of line satisfy th...

The direction cosines of line satisfy the relations `lambda(l+m) = n` and lm + mn + ln = 0.
The value of `lambda` for which the two lines are perpendicualr to each other is ..........

A

1

B

2

C

`1/2`

D

3

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The correct Answer is:
B
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The direction ratios of the line x-y+z-5=0=x-3y-6 are

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  2. The shortest distance the lines (x-3)/(3) = (y-8)/(-1) = (z-3)/(1) and...

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  3. The direction cosines of line satisfy the relations lambda(l+m) = n an...

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  4. The coordinates of a point on the line (x-1)/(2) = (y+1)/(-3) =z at a ...

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  5. The symmetric from of the equation of the line x + y -z = 1 and 2x -3y...

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  6. The direction ratios of there lines are (1,1,2),(3sqrt(3) - 1,sqrt(3) ...

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  7. If the lines (x-2)/(1) = (y-3)/(1) = (4-z)/(lambda) and (x-1)/(lambda)...

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  8. The image of the point (1,6,3) with respect to the line (x)/(1) = (y-1...

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  9. The distance of the point P(-2,3,1) from the line harr(QR) through Q(-...

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  10. If the lines 2x-y+3z + 4 = 0=ax + y-z + 2 and x-3y + z=0 =x + 2y + z +...

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  11. The distance of the plane barr (12,-4,3) = 65 from the origin is ........

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  12. The plane 2x - 3y + 6z + 9 =0 makes an angle with positive direciton o...

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  13. The perpendicular distance between the planes 2x-y+ 2z = 1 and 4x - 2y...

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  14. If the plane passing through (1,1,1),(1,-1,1) and (-1,3,-5) is also pa...

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  15. The foot of perpendicular from the origin to the plane is (a,b,c). So ...

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  16. The distance of the point (2,-3,6) from the plane 3x-6y+2z + 10 = 0 is...

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  17. The line passing through point (2,-3,1) and (3,-4,-5) intersect the ZX...

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  18. The angle between the line (x-1)/(1) = (2-y)/(1) = (z+1)/(1) and the p...

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  19. The normal unit vector of the plane x-3y + 2z = 6 is ............

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  20. The equation of the plane with normal 2 hati + hatj -2 hat k and at di...

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