Question:medium
The plane \( x+3y+13=0 \) passes through the line of intersection of the planes \( 2x-8y+4z=p \) and \( 3x-5y+4z+10=0 \). If the plane is perpendicular to the plane \( 3x-y-2z-4=0 \), then the value of \( p \) is equal to
The plane \( x+3y+13=0 \) passes through the line of intersection of the planes \( 2x-8y+4z=p \) and \( 3x-5y+4z+10=0 \). If the plane is perpendicular to the plane \( 3x-y-2z-4=0 \), then the value of \( p \) is equal to
Show Hint
Always use \(P_1+\lambda P_2=0\) for line of intersection problems.
Updated On: May 8, 2026
- \(2\)
- \(5\)
- \(9\)
- \(3\)
- \(-1\)
Show Solution
The Correct Option is D
Solution and Explanation
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