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A =(2,3,-1), B(1,-1,2), C is a point on ...

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

A

`(0,3/2,0)`

B

`(0,9/4,0)`

C

`(0,-9/4,0)`

D

`(1,-9/4,0)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1
  1. 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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  2. The harmonic conjugate of (2,3,4) with respect to the points (3,-2,2),...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the incentre of the DeltaABC with vertices A(0,0,4), B(3,0,4), C(...

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  20. If origin is the orthocentre of a triangle formed bythe points (cos al...

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