The equations of the lines are as follows:
bx + ay = ab
Point of intersection of pair of lines.
Point of intersection of two lines.
⇒ bx + ay − ab = 0 … (1)
ax + by = ab ⇒ ax + by − ab = 0 … (2)
Solving (1) and (2) using cross - multiplication method:
Hence, the point of intersection is
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