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The co-ordinates of the point P on the l...

The co-ordinates of the point P on the line
`vecr =(hati +hatj + hatk)+lambda (-hati +hatj -hatk)` which is nearest to the
origin is

A

`(2/3, 4/3, 2/3)`

B

`(-2/3, -4/3, 2/3)`

C

`(2/3, 4/3, -2/3)`

D

`(2/3, 2/3, 4/3)`

Text Solution

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The correct Answer is:
A
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AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - B
  1. The equation of the plane which passes through the points (2, 1, -1)...

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  2. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

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  3. Length of the perpendicular from origin to the plane passing through...

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  4. If the plane x- 3y +5z= d passes through the point (1, 2, 4), then the...

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  5. The plane x / 2 + y / 3 + z / 4 = 1 cuts the co-ordinate axes in A, B,...

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  6. The position vectors of points A and B are hati - hatj + 3hatk and 3h...

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  7. Find the vector equation to the plane through the point (2,1,-1) pass...

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  8. बिंदु (1,2,-4) से जाने वाली और दोनों रेखाओ (x-8)/(3)=(y+19)/(-16)...

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  9. The line x + 2y - z - 3 = 0 = x + 3y - 2 - 4 is parallel to

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  10. The shortest distance between the lines 2x + y + z - 1 = 0 = 3x + y + ...

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  11. The lines x + y + z - 3 = 0 = 2x - y + 5z - 6 and x - y - z + 1 = 0 = ...

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  12. The line vecr= veca + lambda vecb will not meet the plane vecr cdot ...

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  13. The plane vecr cdot vecn = q will contain the line vecr = veca + lambd...

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  14. Two system of rectangular axes have the same origin. If the plane cu...

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  15. Perpendicular distance of the point (1, 2, 3) from the line (x-6)/3=(...

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  16. A variable plane is at a constant distance p from the origin and meets...

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  17. The planes 2x + 5y + 3z = 0, x-y+4z = 2 and7y5z + 4 = 0(1) Meet in poi...

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  18. Let vecn be a unit vector perpendicular to the plane containing the ...

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  19. The co-ordinates of the point P on the line vecr =(hati +hatj + hatk...

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  20. The projection of the line segment joining the Points (1, 2, 3) and ...

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