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If the planes vec r . (2i + lambda j +k)...

If the planes `vec r . (2i + lambda j +k) = 3` and `vec r . (4i+j+muk) = 5` are parallel, then the values of `lambda` and `mu` are

A

1/2 , -2

B

- 1/2, 2

C

- 1/2 , -2

D

1/2,2

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The correct Answer is:
D
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

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  2. Find the image of (2,3) on the line 3x+5y=4.

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  3. If the planes vec r . (2i + lambda j +k) = 3 and vec r . (4i+j+muk) = ...

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  4. The angle between the lines (x+1)/2 = (y-2)/5 = (z+3)/4 and (x-1)/1 = ...

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  5. The angle between the lines (x-1)/1 = (y-1)/1 = (z-1)/2 and (x-1)/(-sq...

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  6. The angle between the lines (x+1)/2 = (y-2)/5 = (z+3)/4 and (x-1)/1 = ...

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  7. The perpendicular distance of P(1,2,3) from the line (x-6)/3 = (y-7)/2...

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

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  9. The angle between the line (x-2)/3 = (y+1)/1 = (z-2)/(-1) and the plan...

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  10. 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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  11. The distance of the point (2,3,-4) from the point of intersection of t...

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  12. If the lines : (x-1)/2 =(y+1)/3 =(z-1)/4 and (x-3)/1=(y-k)/2 =z/1 in...

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  13. Equation of the plane passing through (2,3,4) and parallel to the plan...

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  14. Distance between the two planes 2 x+3 y+4 z=4 and 4 x+6 y+8 z=12 is

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  15. The planes 2x-y+4 z=5 and 5x-2.5y+10z=6 are

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  16. The coordinates of the foot of the perpendicular drawn from the point ...

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  17. P is a point on the line segment joining the points (3, 2, – 1) and (6...

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  18. If alpha, beta, gamma are the angles that a line makes with the positi...

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  19. The distance of the point P(a, b, c) from the x-axis is

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  20. The equation of x-axis in space are

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