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If the plane 2x-y+2z+3=0 has the distanc...

If the plane `2x-y+2z+3=0` has the distances `(1)/(3)` and `(2)/(3)` units from the planes `4x-2y+4z+lambda=0` and `2x-y+2z+mu=0`, respectively, then the maximum value of `lambda+mu` is equal to

A

13

B

15

C

5

D

9

Text Solution

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The correct Answer is:
A
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the plane 2x+3y-...

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  2. A perpendicular is drawn from a point on the line (x-1)/(2)=(y+1)/(-1)...

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  3. If the plane 2x-y+2z+3=0 has the distances (1)/(3) and (2)/(3) units f...

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  4. If Q(0, -1, -3) is the image of the point P in the plane 3x-y+4z=2 and...

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  5. let P be the plane, which contains the line of intersection of the pla...

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  6. A plane passing through the points (0, –1, 0) and (0, 0, 1) and making...

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  7. If the line, (x-1)/(2) = (y+1)/(3) = (z-2)/(4) meets the plane, x+2...

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  8. Find the vector equation of the plane through the line of intersection...

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  9. The length of the perpendicular from the point (2, -1, 4) on the strai...

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  10. The magnitude of the projection of the vector 2hati+3hatj+hatk on the ...

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  11. The equation of a plane containing the line of intersection of the pla...

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  12. about to only mathematics

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  13. A plane passing through three points (-lamda^2, 1, ) (1, -lamda^2, 1),...

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  14. The perpendicular distance from the origin to the plane containing the...

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  15. Two lines (x-3)/1 = (y+1)/3 = (z-6)/(-1) and (x+5)/7 = (y-2)/(-6) = (z...

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  16. If the point (2 , alpha , beta) lies on the plane which passes throug...

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  17. The plane containing the line (x-3)/2=(y+2)/(-1) =(z-1)/3 and also ...

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  18. The direction ratios of normal of a plane passing through two points (...

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  19. The plane which bisects the line segment joining the points (-3, -3, 4...

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  20. On which of the following lines lies the point of intersection of the ...

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