Introduction to...

The distance between the circumcentre and the ortho centre of the triangle formed by the points $$(2, 1, 5), (3, 2, 3)$$ and $$(4, 0, 4)$$ is

The ratio in which $$yz$$-plane divides the line segment joining $$(-3, 4, 2), (2, 1, 3)$$ is

If the $$zx$$-plane divides the line segment joining $$(1, -1, 5)$$ and $$(2, 3, 4)$$ in the ratio $$p : 1$$, then $$p + 1=$$

The circum centre of the triangle formed by the points $$(2, 5, 1), (1, 4, -3)$$ and $$(-2, 7, -3)$$ is

The distance from the origin to the centroid of the tetrahedron formed by the points $$(0, 0, 0), (a, 0, 0), (0, b, 0), (0, 0, c)$$ is:

The circum radius of the triangle formed by the points $$(1, 2, -3), (2, -3, 1)$$ and $$(-3, 1, 2)$$ is:

If $$(4, 2, p)$$ is the centroid of the tetrahedron formed by the points $$(k, 2, -1), (4, 1, 1), (6,2, 5)$$ and
$$(3, 3, 3)$$ then $$k + p=$$

$$G(1, 1, -2)$$ is the centroid of the triangle $$ABC$$ and $$D$$ is the mid point of $$BC$$. If $$A = (-1, 1, -4)$$, then $$D =$$

If the centroid of tetrahedron $$OABC$$ where $$A,B,C$$ are given by $$(a,2,3), (1,b,2)$$ and $$(2,1,c)$$ respectively is $$(1,2,-2)$$, then distance of $$P(a,b,c)$$ from origin is

The circum radius of the triangle formed by the points $$(2, -1, 1), (1, -3, -5)$$ and $$(3, -4, -4)$$ is