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.

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Q1.

If the centroid of a tetrahedron $OABC$ is $(1, 2, -1)$, where $O$ is the origin, $A(a, 2, 3)$, $B(1, b, 2)$, and $C(2, 1, c)$ are the other vertices, then the distance of the point $P(a, b, c)$ from the origin is...

(A)

$42$ units

(B)

$\sqrt{107}$ units

(C)

$25$ units

(D)

$15$ units

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Q2.

GATE Technical Standard: In computational modeling of 'Triangle and Parallelogram', what constitutes the primary performance trade-off regarding asymptotic efficiency and resource conservation?

(A)

Minimizing peak algorithmic runtime and memory latency through optimal dynamic constraints (Triangle and Parallelogram)

(B)

Maximizing redundant register transfers to force artificial synchronization

(C)

Arbitrary thread serialization without mutex coordination or race mitigation

(D)

Unbounded stack consumption with circular recursive invocation

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