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The position vectors of the points P and...

The position vectors of the points P and Q are (3,1,2) and (1,-2,-4) repectively. The equation of the plane passing through the point Q and perpendicular to `bar PQ` is...............

A

`bar(r). (2 hat i + 3 hat j + 6 hat k) = 28`

B

`bar r . (2 hat i + 3 hat j + 6 hat k) = 32`

C

`bar r. (2 hat i + 3 hat j + 6 hat k) + 28 = 0`

D

None of these

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The vector equation of the plane which is at distance 8 units from ori...

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  2. The modulus of the vector barn is 8. makes an angle 45^@ with X -axis....

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  3. The position vectors of the points P and Q are (3,1,2) and (1,-2,-4) r...

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  4. The position vectors of the points A and B are respectively hat i - ha...

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  5. The equation of the plane passing through the point hat i + 2 hat j + ...

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  6. The cartessian form of the plane bar r = (1 + lambda - mu) hat i (2 - ...

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  7. The plane is passing through the point A(bar(a)) and contais the line ...

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  8. The angle between the line bar r = (2 hat i - hat j + hat k) + lambda(...

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  9. The distance between the line bar r = 2 hat i - 2 hat j + 3 hat k + l...

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  10. The plane is passing through A(2,-1,3) and it is parallel to bar a = (...

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  11. One plane is parallel to the vectors hat i + hat j + hat k and 2 hat i...

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  12. The line segment joining the points (2,4,5) and (3,5,-4) divides the Y...

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  13. The equation of the plane passing through (1,-3,-2) and perpendicular ...

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  14. Find the distance of the point (-1, -5, -10) from the point of interse...

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  15. The distance of the point (1,-2,3) from the plane x-y+z = 5, measured ...

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  16. The plane contains the vectors 2 hat i + 3 hat j - hat k and hat i + h...

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  17. A plane meets the axes in the points, A, B and C. If the centroid of D...

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  18. Out of the following planes , which plane is passing through theline o...

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  19. A plane is passing through (1,0,0) and (0,1,0) and it makes and angle ...

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  20. The equation of the plane passing through origin and the line of inter...

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