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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.

AAKASH SERIES-3D-COORDINATE SYSTEM-PRACTICE EXERCISE
  1. If ends of a diagonal of a square are (2,-3,4) and (4,1,-2) then the l...

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  2. The 2^(st) point of trisection of segment joining (6,2,-4) and (3,-1,-...

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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. Let A(1,-1,3), B(2,3,5) is divided by p in the ratio 3:2 internally th...

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  5. Find the ratio in which YZ-plane divides the line joining A(2,4,5) and...

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

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  7. The ratio in which zx-plane divides the line segment joining (-2,3,5),...

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  9. The points D, E, F are the midpoints of the sides bar(BC), bar(CA),bar...

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  10. The fourth vertex of the parallelogram whose consecutive vertices are ...

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  11. If the points (3,2,4),(5,4,k),(9,8,-10) are collinear, then k=

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  12. The point on y-axis which is equidistant to (2,0,6), (-6,2,4) is

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  13. If A,B are the feet of the perpendicular from P (2,4,5) to the x-axis ...

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  14. A parallelopiped is formed by planes drawn through the points (2,3,5) ...

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  15. I : The points (-2,3,5 ), (1,,2,3 ),(7,0,-1 ) are collinear. II: The...

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  16. The point (2,1,5),(3,2,3),(4,0,4) form

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  17. The coplanar points (3,2,5) , (2,2,1),(-1,4,1 ),(0,5,5) form a

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  18. In DeltaABC, A(4,5,6), B(3,2,1), C(5,4,3). If p,q,r are lengths of the...

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  19. Centroid of triangle formed by feet of perpendicular from (-3,-6,-9) o...

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  20. If the origin is the centroid of the tetrahedron for which (2,-1,3),(-...

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