3D Geometry
Planes and Lines
Grade 12
Question:
<p>Column (B): Find values of \(k\) for which the planes \(kx + 4y + z = 0\), \(4x + ky + 2z = 0\), and \(2x + 2y + z = 0\) intersect in a straight line</p>
Step-by-Step Solution
Key Concept: Three planes intersect in a line when rank of coefficient matrix equals 2
For three planes to intersect in a straight line, the rank of the coefficient matrix must be 2. Set up the condition and solve using determinants.
Correct Answer: Q