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The ratio in which (5, 4,-6 ) divides th...

The ratio in which (5, 4,-6 ) divides the line segment joining (3,2,-4 ) ,(9,8,-10 ) is

A

`2:1`

B

`1:2`

C

`2:3`

D

`3:2`

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The correct Answer is:
B
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Find the ratio in which the point P(5,4,-6) divides the line segment joining the points A(3,2,-4) and B(9,8,-10) . Also find the harmonic conjugate of P.

DIPTI PUBLICATION ( AP EAMET)-COORDINATE SYSTEM (3D)-EXERCISE 1
  1. If the line joining A (1,3, 4 )and B is divided by the point (-2, 3,5 ...

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  2. The points of trisection of line segment joining (2,-3,5 ) ,(3,1,-2 ) ...

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  3. The ratio in which (5, 4,-6 ) divides the line segment joining (3,2,-4...

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  4. If A (3,2,-4 ), B (5,4 -6 ),C (9,8,10 )are collinear then the ratio in...

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  5. If X-coordinate of a point P on the line joining the points Q (2,2,1 ...

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  6. The ratio in which xy- plane divides the line segment joining (-2,3,1...

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  7. The ratio in which yz-plane divides the line segment joining (3,4,5 ) ...

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  8. The ratio in which yz-plane divides the line segment joining (-3,4,2 )...

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  9. XOZ plane divides the join of (2,3,1 ) and (6,7,1 ) in the ratio

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  10. The ratio in which the line segment joining the points A(-2,3,7),B(6,-...

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  11. The line segment joining points A (2,4,5) , B(3,5,-4) intersects xy -p...

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  12. The line joining the points (2,3,4) and (4,10,7) intersects the line j...

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  13. The line passing through the points (5,1,a) and (3,b,1) cross the yz -...

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  14. The harmonic conjugate of (2,3,4) w.r.t the points (3,-2,2) ,(6,-17,-4...

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  15. Find the fourth vertex of the parallelogram whose consecutive vertices...

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  16. The fourth vertex of the square whose consecutive vertices are (4,5,1...

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  17. The centroid of the triangle formed by the points (2,3,-1) , (5,6,3), ...

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  18. If the origin is the centroid of the triangle for which (2,-3,5),(-1,...

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  19. If (2,1,1) is the centroid of the triangle for which (3,2,-1) ,(2,-2,5...

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  20. If the centroid of the triangle formed by (a,1,3) ,(-2,b,-5) and (4,7,...

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