Question:
Find the coordinates of the point where the line joining the points \( (2, -3, 1) \) and \( (3, -4, -5) \) cuts the plane \( 2x + y + z = 7 \):
Find the coordinates of the point where the line joining the points \( (2, -3, 1) \) and \( (3, -4, -5) \) cuts the plane \( 2x + y + z = 7 \):
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Use the section formula to find the point where a line intersects a plane.
Updated On: Mar 25, 2026
- \( (1, 2, -7) \)
- \( (2, 7, 4) \)
- \( (-1, 2, 7) \)
- \( (1, 7, 4) \)
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The Correct Option is B
Solution and Explanation
Step 1: Use the section formula.
The equation of the line joining two points can be written in parametric form. Substituting the parametric coordinates into the plane equation, we find the point where the line cuts the plane. The coordinates are \( (2, 7, 4) \).
Thus, the correct answer is (2).
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