JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
If the sum of squares of all real values of \(\alpha\), for which the lines \(2 x-y+3=0,6 x+3 y+1=0\) and \(\alpha x+2 y-2=0\) do not form a triangle is \(p\), then the greatest integer less than or equal to \(\mathrm{p}\) is \(.........\)
- A \(35\)
- B \(33\)
- C \(34\)
- D \(32\)
Answer & Solution
Correct Answer
(D) \(32\)
Step-by-step Solution
Detailed explanation
\(2 x-y+3=0 \) \( 6 x+3 y+1=0 \) \( \alpha x+2 y-2=0\) Will not form a \(\Delta\) if \(\alpha x+2 y-2=0\) is concurrent with \(2 x-y+3=0\) and \(6 x+3 y+1=0\) or parallel to either of them so Case-\(1\): Concurrent lines…
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