MHT-CET

Introduction to Three Dimensional Geometry question bank (Mathematics)

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Q1.

$\triangle ABC$ has vertices at $A \equiv (2, 3, 5)$,$B \equiv (-1, 3, 2)$ and $C \equiv (\lambda, 5, \mu)$. If the median through $A$ is equally inclined to the axes,then the values of $\lambda$ and $\mu$ respectively are

(A)

$10, 7$

(B)

$9, 10$

(C)

$7, 9$

(D)

$7, 10$

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Q2.

The incenter and centroid of the triangle,whose vertices are $A \equiv(0,3,0), B \equiv(0,0,4)$,and $C \equiv(0,3,4)$,are respectively given by

(A)

$(0,-2,-3),\left(0,-2, \frac{8}{3}\right)$

(B)

$(0,-2,3),\left(0,2,-\frac{8}{3}\right)$

(C)

$\left(0,2, \frac{8}{3}\right),(0,2,3)$

(D)

$(0,2,3),\left(0,2, \frac{8}{3}\right)$

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