JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
If for some \(\alpha\) and \(\beta\) in \(R,\) the intersection of the following three planes \(x+4 y-2 z=1\) ; \(x+7 y-5 z=\beta\) ; \(x+5 y+\alpha z=5\) is a line in \(\mathrm{R}^{3},\) then \(\alpha+\beta\) is equal to
- A \(10\)
- B \(-10\)
- C \(2\)
- D \(0\)
Answer & Solution
Correct Answer
(A) \(10\)
Step-by-step Solution
Detailed explanation
For planes to intersect on a line \(\Rightarrow\) there should be infinite solution of the given system of equations for infinite solutions…
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