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Let P(r)(x(r),y(r),z(r)), r=1,2,3 " be t...

Let `P_(r)(x_(r),y_(r),z_(r)), r=1,2,3 " be three points where " x_(1),x_(2),x_(3),y_(1),y_(2),y_(3), z_(1),z_(2),z_(3)` are each in G.P. with the same common rato then `P_(1),P_(2),P_(3)` are

A

coplanar

B

collinear

C

form an equilateral triangle

D

lies on a circle

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The correct Answer is:
B
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AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1
  1. If the xicoordinate of 'p' on the join of Q(2,2,1) and R(5,2,-2) is 4,...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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