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  • Question 1
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    Let $$A(3, 0, -1), B(2, 10, 6)$$ and $$C(1, 2, 1)$$ be the vertices of a triangle and $$M$$ be the midpoint of $$AC$$. If $$G$$ divides $$BM$$ in the ratio, $$2 : 1$$, then $$\cos (\angle GOA)$$ ($$O$$ being the origin) is equal to:

  • Question 2
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    In the given figure, co-ordinates of the midpoint of $$AB$$ are 

  • Question 3
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    Name three undefined terms.

  • Question 4
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    Distance between $$A(4,5,6)$$ from origin $$O$$ is

  • Question 5
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    Distance between the points $$(12,4,7)$$ and $$(10,5,3)$$ is

  • Question 6
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    The three planes divides the space into 

  • Question 7
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    A point on XOZ-plane divides the join of $$(5, -3, -2)$$ and $$(1, 2, -2)$$ at

  • Question 8
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    In three dimensions, the coordinate axes of a rectangular cartesian coordinate system are

  • Question 9
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    If G is centroid of $$\triangle ABC$$, then 

  • Question 10
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    Find the distance between $$(12,3,4)$$ and $$(4,5,2)$$

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