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A plane bisects the line segment joining...

A plane bisects the line segment joining the points `(1,2,3) and (-3,4,5)` at right angles. Then this plane also passes through the point

A

`(1,2,-3)`

B

`(-1,2,3)`

C

`(-3,2,1)`

D

`(3,2,1)`

Text Solution

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The correct Answer is:
C
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. A variable plane passes through a fixed point(3,2,1) and meets and ...

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  2. An agle between the plane, x + y+ z =5 andthe line of intersection of ...

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  3. A plane bisects the line segment joining the points (1,2,3) and (-3,4,...

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  4. An angle between the lines whose direction cosines are given by the eq...

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  5. If the angle between the lines, x/2=y/2=z/1 and (5-x)/(-2) = (7y-14)/(...

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  6. The sum of the intercepts on the coordinate axes of the plane passing ...

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  7. The distance of the point (1, 3, -7) from the plane passing through th...

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  8. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

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  9. Find the line of intersection of the planes vecr.(3hati-hatj+hatk)=1 a...

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  10. The coordinates of the foot of the perpendicular from the point (1,-2...

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  11. If a variable plane, at a distance of 3 units from the origin, interse...

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  12. If x =a, y=b, z=c is a solution of the system of linear equations x + ...

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  13. If the line, (x-3)/(1) =(y+2)/(-1) = (z+ lamda)/(-2) lies in the plane...

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  14. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

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  15. If the line, (x-3)/(2)=(y+2)/(-1)=(z+4)/(3) lies in the plane, lx+my-n...

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  16. The shortest distance between the lines lines x/2 = y/2 = z/1 and (x+2...

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  17. The distance of the point (1,-2,4) from the plane passing through the ...

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  18. ABC is triangle and A = (2, 3, 5), B = (-1, 3, 2) and C=(lamda, 5, mu)...

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  19. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

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  20. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

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