1. find the equation of perpendicular bisectors of the line segment joining the points (1,1) and (2,3)

2. Find the eq of the line which passes through the points (3,4) and the sum of its intercepts on the axes 14

Here is the answer to your question.
The perpendicular bisector of the line joining two given points is perpendicular to the line and passes through the mid point of the line.
Let A (1, 1) and B (2, 3) be the two given points.
Let the intercept on x-axis be a.
∴Intercept on the y-axis = 14 – a
Equation of the straight line is


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