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THREE DIMENSIONAL GEOMETRY question bank (Mathematics)

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Q1.

If $A(3, -2, 2)$ and $B(2, \lambda+1, 5)$ are the end points of the diameter of a circle and the point $P(5, 6, -1)$ lies on the circle,then $\lambda=$

(A)
$6$
(B)
$8$
(C)
$7$
(D)
$5$
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Q2.

The centroid of a tetrahedron with vertices $P(5, -7, 0)$,$Q(a, 5, 3)$,$R(4, -6, b)$,and $S(6, c, 2)$ is $(4, -3, 2)$. Then the value of $2a + 3b + c$ is equal to:

(A)
$15$
(B)
$7$
(C)
$7$
(D)
$5$
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