Find the point of intersection of the following pairs of lines: y = m1X + a/m1 and y = m2X + a/m2

Question

Find the point of intersection of the following pairs of lines: y = \(m_1x +\frac{a}{m_1}\) and y =  \(m_2x+  \frac{a}{m_2}\)

Answer 1

Given: 

The equations of the lines are

 y = \(m_1x +\frac{a}{m_1}\) and y =  \(m_2x+  \frac{a}{m_2}\)

To find: 

Point of intersection of pair of lines. 

Concept Used: 

Point of intersection of two lines. 

Explanation: Thus, we have:

\(m_1x -y+\frac{a}{m_1}=0\)  ....(1)

 \(m_2x-y+ \frac{a}{m_2}=0\) ....(2)

Solving (1) and (2) using cross - multiplication method:

Answer 2

ths is the answer