SATHEE: Straight Line Question 141

Straight Line Question 141

The lines y = m₁x, y = m₂x, and y = m₃x make equal intercepts on the line x + y = 1. Then

Options:

A) $ 2(1+m_1)(1+m_3)=(1+m_2)(2+m_1+m_3) $

B) $ (1+m_1)(1+m_3)=(1+m_2)(1+m_1+m_3) $

C) $ (1+m_1)(1+m_2)=(1+m_3)(2+m_1+m_3) $

D) $ 2(1+m_1)(1+m_3)=(1+m_2)(1+m_1+m_3) $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Solving the equations of the lines, we get $ A\equiv ( \frac{1}{1+m_1},\frac{m_1}{1+m_1} ), $ $ C\equiv ( \frac{1}{1+m_3},\frac{m_3}{1+m_3} ) $ If AB=BC. Then the mid point of AC lies on $ y=m_2x $

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Straight Line Question 141

The lines y = m₁x, y = m₂x, and y = m₃x make equal intercepts on the line x + y = 1. Then

Options:

Answer:

Solution:

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