Question:
The equation of the plane which bisects the angle between the planes \[ 3x - 6y + 2z + 5 = 0 \quad \text{and} \quad 4x - 12y + 32z - 3 = 0 \] \(\text{which contains the origin is:}\)
The equation of the plane which bisects the angle between the planes \[ 3x - 6y + 2z + 5 = 0 \quad \text{and} \quad 4x - 12y + 32z - 3 = 0 \] \(\text{which contains the origin is:}\)
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The bisector of two planes can be found by taking the average of their coefficients.
Updated On: Jan 12, 2026
- \( 33x - 13y + 32z + 45 = 0 \)
- \( x - 3y + z - 5 = 0 \)
- \( 33x + 13y + 32z + 45 = 0 \)
- None of these
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The Correct Option is A
Solution and Explanation
The equation of the plane bisecting two other planes is found by averaging the coefficients of the given planes. The resulting equation is \( 33x - 13y + 32z + 45 = 0 \).
Final Answer: \[ \boxed{33x - 13y + 32z + 45 = 0} \]
Final Answer: \[ \boxed{33x - 13y + 32z + 45 = 0} \]
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