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I : The points (-2,3,5 ), (1,,2,3 ),(7,0...

I : The points (-2,3,5 ), (1,,2,3 ),(7,0,-1 ) are collinear.
II: The points (2 ,-1,1 ) (1-3-5 ), (3,-4,-4 ) form an equilateral triangle.

A

collinear

B

vertices of a right angled triangle

C

vertices of an equilateral triangle

D

vertices of an isosceles triangle

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The correct Answer is:
A
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AAKASH SERIES-3D-COORDINATE SYSTEM-PRACTICE EXERCISE
  1. If A,B are the feet of the perpendicular from P (2,4,5) to the x-axis ...

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  2. A parallelopiped is formed by planes drawn through the points (2,3,5) ...

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  3. I : The points (-2,3,5 ), (1,,2,3 ),(7,0,-1 ) are collinear. II: The...

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  4. The point (2,1,5),(3,2,3),(4,0,4) form

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  5. The coplanar points (3,2,5) , (2,2,1),(-1,4,1 ),(0,5,5) form a

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  6. In DeltaABC, A(4,5,6), B(3,2,1), C(5,4,3). If p,q,r are lengths of the...

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  7. Centroid of triangle formed by feet of perpendicular from (-3,-6,-9) o...

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  8. If the origin is the centroid of the tetrahedron for which (2,-1,3),(-...

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  9. In the tetrahedrom ABCD, A=(1,2,-3) and G=(-3,4,5) is cntroid of tetra...

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

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  11. Statement-I : The coordinates of a point equidistant from the four poi...

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  12. The incentre of the triangle formed by (0,0,0),(3,0,0),(0,4,0) is

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  13. The centroid of the triangle formed by the points (2,-1,1),(1,-3,-5),(...

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  14. A (3,4,5), C(-1,6,1) are the vetrices of a triangle then Statement-I...

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

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  16. If the Internal bisector of angleAOB where 0=(0,0,0), A =(3,4,12), B=(...

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  17. Statement-I : If (2,3,5),(3,5,2) and (5,2,3) are the vertices of a tri...

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  18. Locus of x^(2)+y^(2)+z^(2)=0 is

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  19. The locus of a point for which the sum the squares of the ditance from...

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  20. Show that the point whose distance from Y-axis in thrice its distance ...

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