Question:
The line joining the points $ (2,2,2) $ and $ (6,6,6) $ meets the line $$ \frac{x - 1}{3} = \frac{y - 2}{2} = \frac{z - 5}{-1} $$ at the point
The line joining the points $ (2,2,2) $ and $ (6,6,6) $ meets the line $$ \frac{x - 1}{3} = \frac{y - 2}{2} = \frac{z - 5}{-1} $$ at the point
Show Hint
To find the intersection of two lines in 3D, express both in parametric form and solve for the parameters.
Updated On: Apr 7, 2026
- \( (1,1,1) \)
- \( (2,2,2) \)
- \( (3,3,3) \)
- \( (4,4,4) \)
- \( (6,6,6) \)
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
To find the intersection point, we solve the parametric equations of the given lines.
By equating the expressions, we find that the point of intersection is:
\[
(4,4,4)
\]
Thus, the correct answer is (D).
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