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Find the coordinates of the point which divides the line segment joining the points (1, -2, 3) and (3, 4, -5) in the ratio 2 : 3 (i) internally, and (ii) externally.

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The correct Answer is:
`2:3`
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KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Introduction to Three Dimensional Geometry (Fill in the Blanks)
  1. y co - ordinate of the point lies on X - axis is ..........

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  2. If P (1,-3,4) and Q (-4,1,2) are given then d(PQ) = unit.

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  3. Find the coordinates of the point which divides the line segment joini...

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  4. The coordinates of points in the XY-plane are of the form

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  5. Centroid of the triangle with verticies P(1, -2, 1), Q(2, 3, -1) and R...

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  6. The centroid of the triangle with verticies A(1, 1, 1), B(2, 1, 2) and...

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  7. In R^(3) equation x^(2)+y^(2)=0 represents .

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  8. L is the foot of the perpendicular drawn from a point (3, 4, 5) on X-a...

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  9. If the distance between the points (a, 0, 1) and (0, 1, 2) is sqrt27, ...

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  10. Perpendicular distance from origin to point (3,4,5) is ......... .

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  11. Find the co-ordinates of a point on Y-axis which are at a distance of ...

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  12. Point (-3,1,-2) is in ........... octant.

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  13. y co - ordinate of the point lies on X - axis is ..........

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  14. If P (1,-3,4) and Q (-4,1,2) are given then d(PQ) = unit.

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  15. Find the coordinates of the point which divides the line segment joini...

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  16. The coordinates of points in the XY-plane are of the form

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  17. Centroid of the triangle with verticies P(1, -2, 1), Q(2, 3, -1) and R...

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  18. The centroid of the triangle with verticies A(1, 1, 1), B(2, 1, 2) and...

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  19. In R^(3) equation x^(2)+y^(2)=0 represents .

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  20. L is the foot of the perpendicular drawn from a point (3, 4, 5) on X-a...

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