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Find the coordinates of the point which divides the joint of `P(2,-1,4)a n dq(4,3,2)` in the ratio 2:3 (i) internally (ii) externally.

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`((8+6)/5,(6-3)/5,(4+12)/5)=R(14/5,3/5,16/5)`
`R((8-6)/(-1),(6+3)/(-1),(4-12)/9-1)=R(-2,-9,8)`.
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RD SHARMA-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-Solved Examples And Exercises
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  2. Find the coordinates of the point which divides the joint of P(2,-1...

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  3. Show that the plane a x+b y+c z+d=0 divides the line joining the point...

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  4. Find the ratio in which the line joining the points (1,2,3)a n d(-3...

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  7. Prove by using distance formula that the points A(1,2,3),B(-1,-1,-1)an...

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  8. Determine the point in X Y-p l a n e whcih is equidistant from three p...

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  9. Show that the points A(0,1,2),B(2,-1,3)a n dC(1,-3,1) are vertices of ...

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  10. Find the coordinates of a point equidistant from th four points O(0,0,...

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  11. Find the point on y-axis which is equidistant from the points (3,1,2)...

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  12. Prove that the triangle formed by joining the three points whose co...

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  13. The lines joining the vertices of a tetrahedron to the centroids of...

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  14. Using the section formula, prove that the three pints A(-2,3,5),B(1...

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  15. Find the coordinates of the points which trisect the line segment A...

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  16. Find the ratio in which the join the A(2,1,5)a n dB(3,4,3) is divided ...

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  17. In fig. 28.7 if the coordinates of point P\ a r e\ (a , b , c) then Wr...

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  18. Planes r drawn parallel to the coordinate planes through the point P(x...

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  19. Name the octants in which the following points lie: (5,2,3)

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  20. Name the octants in which the following points lie: (-5,-4,7)

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