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If P(3,2,-4),Q(5,4,-6) and R(9,8,-10) ar...

If `P(3,2,-4),Q(5,4,-6)` and `R(9,8,-10)` are collinear, then `R` divides `PQ` in the ratio

A

2:1 internally

B

2:1 externally

C

3:2 internally

D

3:2 externally

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (1)
  1. The ratio in which the sphere x^(2)+y^(2)+z^(2)=504 divides the line j...

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  2. Find the ratio in which the y-z plane divides the join of the po...

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  3. If P(3,2,-4),Q(5,4,-6) and R(9,8,-10) are collinear, then R divides PQ...

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  4. A(3,2,0),B(5,3,2),C(-9,6,-3) are the vertices of a triangle ABC. If th...

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  5. The co-ordinates of the point which divides the line joining (2, 3, 4)...

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  6. The minimum distance of the point (1, 2, 3) from x-axis is

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  7. The locus of x^(2)+y^(2)+z^(2)=0 is

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  8. A parallelepiped is formed by planes drawn through the points P(6,8...

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  9. If alpha, beta, gamma be angles which a straighat line makes with the ...

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  10. A line line makes the same angle theta with each of the x and z-axes....

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  11. A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a...

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  12. Which of the following triplets give the direction cosines of a line ?

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  13. The points A(1,- 6,10), B(-1, -3,4), C(5, - 1,1) and D(7,-4,7) are the...

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  14. A straight line which makes an angle of 60^@ with each of Y and Z-axis...

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  15. If a line makes an angle (pi)/(4) with the positive directions of each...

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  16. A line passes through the point (6, -7, -1) and (2, -3, 1). The direct...

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  17. If P is a point in space such that OP is inclined to OX at 45^(@) and ...

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  18. The projections of a line segment on the coordinate axes are 12,4,3 re...

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  19. The direction cosines of the line joining the points (4,3,-5) and (-2,...

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  20. If (a,b,c) and (a^('),b^('),c^(') ) are the direction ratios of two pe...

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