MHT-CET

Introduction to Three Dimensional Geometry question bank (Mathematics)

Practice 26 free MHT-CET Mathematics - Introduction to Three Dimensional Geometry questions with answers and step-by-step solutions.

Q1.

If $A(1,4,2)$ and $C(5,-7,1)$ are two vertices of triangle $ABC$ and $G\left(\frac{4}{3}, 0, \frac{-2}{3}\right)$ is the centroid of the triangle $ABC$,then the midpoint of side $BC$ is

(A)
$\left(-2,-2, \frac{3}{2}\right)$
(B)
$\left(2,2, \frac{3}{2}\right)$
(C)
$\left(\frac{3}{2}, 2,-2\right)$
(D)
$\left(\frac{3}{2},-2,-2\right)$
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Q2.

If $G(3, -5, r)$ is the centroid of triangle $ABC$ where $A(7, -8, 1)$,$B(p, q, 5)$,and $C(q+1, 5p, 0)$ are the vertices of the triangle,then the values of $p, q, r$ are respectively . . . . . . .

(A)
$6, 5, 4$
(B)
$-4, 5, 4$
(C)
$-3, 4, 3$
(D)
$-2, 3, 2$
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