AP EAMCET · Maths · Straight Lines
The number of the values of ' \(k\) ' for which the lines \(2 x+y=1,3 x+2 y=2, k x+3 y=3\) are concurrent is .........
- A 0
- B Infinity
- C 1
- D 2
Answer & Solution
Correct Answer
(B) Infinity
Step-by-step Solution
Detailed explanation
It is given that the lines \(2 x+y=1,3 x+2 y=2\) and \(k x+3 y=3\) are concurrent, so \[ \left|\begin{array}{ccc} 2 & 1 & -1 \\ 3 & 2 & -2 \\ k & 3 & -3 \end{array}\right|=0 \] \(\because\) The elements of columns \(C_2\) and \(C_3\) are proportional to each other, so for any…
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