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D(2,1,0) E(2,0,0) F(0,1,0) are mid point...

D(2,1,0) E(2,0,0) F(0,1,0) are mid points of the sides BC,CA,AB of `Delta ABC` respectively. The centroid of `Delta` ABC is ……..

A

`(1/3,1/3,1/3)`

B

`(4/3,2/3,0)`

C

`((-1)/3,1/3,1/3)`

D

`(2/3,1/3,1/3)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1
  1. The point (2,-1,3) is the centroid of the triangle formed by the point...

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  2. If (2,k,-1) is the centroid of the triangle with vertices (2,-1,2) (1...

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  3. D(2,1,0) E(2,0,0) F(0,1,0) are mid points of the sides BC,CA,AB of Del...

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  4. If the centriod of a triangle formed by the points (a,0,0),(0,b,0),(0,...

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  5. In a Delta ABC vertex A, mid point of BC are (1,2,3) and (5/2,-5/2,0) ...

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  6. The centroid of the tetrahedron ABCD divides the line joining the ver...

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  7. If the xicoordinate of 'p' on the join of Q(2,2,1) and R(5,2,-2) is 4,...

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  8. A point Q is at a distance 3 from the point P (1,1,1) lying on the lin...

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  9. Let P(r)(x(r),y(r),z(r)), r=1,2,3 " be three points where " x(1),x(2)...

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  10. The point on x-axis with is equidistant to (2,-1-4), (-4,3,0) is

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  11. If L and M are the feet of the perpendiculars from the point (2,4,5) t...

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  12. If a half line bar(OP) where bar(OP)=r makes an angle alpha with th...

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  13. Assertion (A) : P(3,4,5), Q(-1,7,9) are two given points, length of pr...

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  14. A, B, C are projections oof P(5, -2, 6) on coordinate planes then find...

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  15. If A =(1,2,3) and B=(3,5,7) and P, Q are the points on AB such that AP...

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  16. The harmonic conjugate of (2,3,4) with respect to the points (3,-2,2),...

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  17. A =(2,3,-1), B(1,-1,2), C is a point on y-axis such that angleABC=pi//...

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  18. If (2,5,1) and (9,10,4) are ends of diagonal of a rectangular parallel...

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  19. Let A(4, 7, 8), B(2, 3, 4) and C(2,5,7) be the vertices of DeltaABC. ...

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  20. alpha, beta, gamma are the root of x^(3)-2x^(2)-x+2=0. Centroid of tr...

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