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If the point (2 , alpha , beta) lies on...

If the point `(2 , alpha , beta) ` lies on the plane which passes through the points `(3,4,2) and (7,0,6)` and is perpendicular to the plane `2x-5y=15,` then `2 alpha - 3 beta` is equal to:

A

17

B

7

C

5

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. A plane passing through the points (0, –1, 0) and (0, 0, 1) and making...

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

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

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

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

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

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  7. about to only mathematics

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

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

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

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

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

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

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

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

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  16. Find the plane passing through (4,-1,2) and parallel to the lines (x+2...

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  17. Let A be a point on the line vecr=(1-3mu)hati+(mu-1)hatj+(2+5mu)hatk a...

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  18. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

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  19. If plane through the intersection fo the planes x+y+z=1 and 2x+3y-z+4=...

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  20. The equation of the line passing through (-4, 3, 1), parallel to the p...

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