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Prove that the line through A (0, –1, –1) and B (4, 5, 1) intersects the line through C (3, 9, 4) and D (– 4, 4, 4).
Prove that the line through A (0, –1, –1) and B (4, 5, 1) intersects the line through C (3, 9, 4) and D (– 4, 4, 4).
CBSE | Class 12 | Exercise 1 | Maths | NCERT Exemplar | Three Dimensional Geometry
Prove that the line through A (0, –1, –1) and B (4, 5, 1) intersects the line through C (3, 9, 4) and D (– 4, 4, 4).

According to ques,

Points are

\[~A\text{ }\left( 0,\text{ }1,\text{ }1 \right)\text{ }and\text{ }B\text{ }\left( 4,\text{ }5,\text{ }1 \right)\]

\[C\text{ }\left( 3,\text{ }9,\text{ }4 \right)\text{ }and\text{ }D\text{ }\left( \text{ }4,\text{ }4,\text{ }4 \right).\]

Therefore, Cartesian form of equation AB is

NCERT Exemplar Solutions Class 12 Mathematics Chapter 11 - 11

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