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A(3, 2, 0), B(5, 3, 2) and C(-9, 8, -10)...

`A(3, 2, 0), B(5, 3, 2) and C(-9, 8, -10)` are the vertices of a triangle ABC. If the bisector of `angleABC` meets BC atD, then coordinates of D are

A

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

B

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

C

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

D

None of these

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The correct Answer is:
(a)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  2. If P(3, 2, -4), Q(5, 4, -6) and R(9, 8, -10) are collinear, then R div...

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  3. A(3, 2, 0), B(5, 3, 2) and C(-9, 8, -10) are the vertices of a triangl...

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

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

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  6. The direction cosines of the lines bisecting the angle between the lin...

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  7. The equation of the plane perpendicular to the line (x-1)/(1), (y-2)/(...

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  8. The locus of a point which moves so that the difference of the squares...

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  9. The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3...

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  10. The vector equation of the plane through the point 2hat(i)-hat(j)-4hat...

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  11. Let L1 be the line r1=2hat(i)+hat(j)-hat(k)+lambda(hat(i)+2hat(k)) and...

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  12. For the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3), which one of the following...

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  13. The value of m for which straight line 3x-2y+z+3=0=4x-3y+4z+1 is paral...

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  14. The length of projection of the line segmet joining the points (1, 0,...

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  15. The number of planes that are equidistant from four non-coplanar po...

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  16. In a three dimensional co-odinate , P, Q and R are images of a point A...

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  17. A plane passing through (1,1,1) cuts positive direction of coordinates...

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  18. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

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  19. The point of intersecting of the line passing through (0, 0, 1) and in...

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  20. Two system of rectangular axes have the same origin. If a plane cuts t...

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