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If A =(1,2,3) and B=(3,5,7) and P, Q are...

If A =(1,2,3) and B=(3,5,7) and P, Q are the points on AB such that AP= PQ =QB,then the mid point of PQ is

A

(2,3,5)

B

(2,3.5,5)

C

(2,4,5)

D

(4,7,10)

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The correct Answer is:
B
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AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1
  1. Assertion (A) : P(3,4,5), Q(-1,7,9) are two given points, length of pr...

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

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

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

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

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

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

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  9. The distance between the origin and the centroid of the tetrahedron wh...

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  10. If the centroid of the tetrahedron is (0,-1,5/2) and three vertices ar...

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  11. The coordinates of a point equidistant from the four points (a,0,0),(0...

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  12. The circumcentre of the triangle formed by the pointgs (1,2,3), (3,-1,...

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  13. The circumradius of the triangle formed by the points (2,-1,1),(1,-3,-...

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  14. Assertion (A) : P(3,5,4), Q(6,5,7) are the vertice of a triangle whose...

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  15. The distance between the circumcentre and the orthocentre of DeltaABC ...

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  16. If the orthocentre and the circucentre of are (-3,5,2) ,(6,2,5) then i...

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  17. If H,G,S, I are respectively othercentre centroid , circumcentre and i...

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  18. A(0,2,3), B(2,-1,5),C(3,0, -3) are vertices of DeltaABC. If a,b,c are ...

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  19. If (1,2,3 ), (2,3,1 ) are two vertices of an equilateral triangle then...

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  20. The distance between the circumcentre and the orthocentre of the trian...

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