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A(3,2,0),B(5,3,2) and C(-9,6,-3) are the...

`A(3,2,0),B(5,3,2)` and `C(-9,6,-3)` are the vertices of triangle ABC. If the bisec-tor of `angleBAC` meets BC at D then D is

A

`((19)/(8),(57)/(16),(17)/(16))`

B

`((-19)/(8),(57)/(16),(17)/(16))`

C

`((19)/(8),(-57)/(16),(17)/(16))`

D

`((19)/(8),(57)/(16),(-17)/(16))`

Text Solution

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The correct Answer is:
A
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NEW JOYTHI PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. The distance between P(1,-3,4) and Q(-4,1,2) is

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  2. The points A(3,6,9),B(10,20,30) and C(25,-41,5)

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  3. Show that the points (1, 2, -1), (2, 5, 1) and (0, -1, -3) are colline...

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  4. Find the equation of the set of points which are equidistant from the ...

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  5. The equation of the set of points P, the sum of whose distances from A...

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  6. The points (-4,6,10),(2,4,6) and (14,k,-2) are collinear then k is

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  7. The ratio in which the point Q(5,4,-6) divides the line joining the po...

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  8. Find the ratio in which the YZ-plane divides the line segment formed b...

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  9. The coordinates of a point which trisect the line segment joining the ...

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  10. Three vertices of a parallelogram ABCD are A(3,-1,2),B(1,2,-4) and C(-...

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  11. Three vertices of a rectangle are (3,2),(-4,2) and (-4,5). Plot the po...

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  12. If the origin is the centroid of the triangle PQR with vertices P(2a,2...

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  13. Find the distance of the following pair of point: findthe voordinates ...

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  14. A point R with x-coordinate 4 lies on the line segment joining the poi...

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  15. The vertices of a triangle have integer co- ordinates then the triang...

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  16. The vertices of a triangle are (3,2,5),(3,2,-1) and (7,2,5). The circu...

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  17. The locus of a point P(x,y,z) which moves in such a way that z=c (cons...

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  18. The distance of the point P(a,b,c) from the z axis is

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

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