AP EAMCET · Maths · Straight Lines
Given that lines \(L_1: y=m_a x, L_2: y=m_b x\) and \(L_3: y=m_c x\) make equal intercepts on the line \(x+y=1\), then
- A \(2\left(1+m_a\right)\left(1+m_{\mathrm{c}}\right)=\left(1+m_b\right)\left(1+m_{\mathrm{b}}\right)\)
- B \(2\left(1+m_a\right)\left(1+m_t\right)=\left(1+m_b\right)\left(2+m_a+m_t\right)\)
- C \(\left(1+m_a\right)\left(1+m_b\right)=\left(2+m_t\right)\left(1+m_a+m_t\right)\)
- D \(\left(1+m_a\right)\left(1+m_b\right)=\left(1+m_b\right)\left(2+m_a+m_c\right)\)
Answer & Solution
Correct Answer
(B) \(2\left(1+m_a\right)\left(1+m_t\right)=\left(1+m_b\right)\left(2+m_a+m_t\right)\)
Step-by-step Solution
Detailed explanation
Since, the point of intersecting of given lines \(L_1: y=m_a x, L_2: y=m_b x\) and \(L_3: y=m_c x\) with line \(x+y=1\) are…
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