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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

12

B

7

C

5

D

17

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. On which of the following lines lies the point of intersection of the ...

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

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

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  4. If the plane containing the line (x-3)/2 = (y+2)/(-1) = (z-1)/3 and al...

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  5. The driection ratios of normal to the plane through the points (0, -1,...

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  6. The plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4...

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  7. The plane passing through the point (4, -1, 2) and perallel to the lin...

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  8. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

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

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

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  11. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

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  12. Let S be the set of all real values of lamda such that a plane passing...

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  13. If an angle between the line, (x+1)/(2)=(y-2)/(1)=(z-3)/(-2) and the...

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

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

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  16. Find the equation of the plane through the line of intersection of the...

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  17. If a point R ( 4, y, z ) lies on the line segment joining the poi...

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  18. If the line (x-1)/(2)=(y+1)/(3)=(z-2)/(4) meets the plane, x+2y+3z=15 ...

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  19. A plane passing through the points (0,-1,0) and (0,0,1) and making an ...

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  20. The vertices B and C of a DeltaABC lie on the line, (x+2)/(3)=(y-1)/(0...

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