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If p1,P2,P3 denot the distances of the p...

If `p_1,P_2,P_3` denot the distances of the plane 2x-3y+4z +2 = 0 from the planes 2x-3y + 4z + 6 = 0, 4x-6y+8z +3 = 0 and 2x -3y + 4z -6 = 0 repectively then , .......... Is not true.

A

`P_1 + 8P_2 - P_3 = 0`

B

`P_3 = 16P_2`

C

`8P_2 ne P_1`

D

`P_1 + 2P_2 + 3P_3 = sqrt(29)`

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 equation to the plane through the pionts (2,-1,00) and (3,-4,5) pa...

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  2. Through a point P(f,g,h) a plane is drawn at right angles to bar(OP), ...

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  3. If p1,P2,P3 denot the distances of the plane 2x-3y+4z +2 = 0 from the ...

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  4. The image of the piont P(2,3,1) in the plane x-y-z -2 = 0 is ............

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  5. If the plane lambda x-mu y + vz = phi contains line (x-lambda)/(lambd...

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  6. The difference between the distances of the points (2,3,4) and (1,1,4)...

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  7. The vector equation of the plane which is at distance 8 units from ori...

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

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

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

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

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

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

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

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

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

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

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

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

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

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