AP EAMCET · Maths · Straight Lines
\(L_1\) and \(L_2\) are two lines having slopes 2 and \(-\frac{1}{2}\) respectively. If both \(L_1\) and \(L_2\) are concurrent with the lines \(x-y+2=0\) and \(2 x+y+3=0\), then sum of the absolute values of the intercepts made by the lines \(L_1\) and \(L_2\) on the coordinate axes is
- A \(2\)
- B \(7\)
- C \(12\)
- D \(9\)
Answer & Solution
Correct Answer
(B) \(7\)
Step-by-step Solution
Detailed explanation
\(x-y+2=0\) (1) \(2x+y+3=0\) (2) (1) + (2): \(3x+5=0 \Rightarrow x = -\frac{5}{3}\) Subst. \(x\) into (1): \(-\frac{5}{3}-y+2=0 \Rightarrow y = \frac{1}{3}\) Intersection point: \((-\frac{5}{3}, \frac{1}{3})\) Line \(L_1\): \(m_1=2\) \(y - \frac{1}{3} = 2(x + \frac{5}{3})\)…
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