The equation to the line bisecting the joining of (3,-4) and (5,2) having its intercepts on X axis and Y - Maths - Straight Lines

Question

The equation to the line bisecting the joining of (3,-4) and (5,2)
having its intercepts on X axis and Y axis in the ratio 2:1 is

Aarushi Mishra · Accepted Answer

Let the intercept on X-axis and Y-axis be 2A and A respectively
Using intercept form of striaght linexa+yb=1Our required equation isx2A+yA=1It is given the line passes through pint P, which is the mid-point of line segment joining 3,-4 and 5,2P=3+52, -4+22=4,-1Put P in the equation42A+-1A=12A-1A=11A=1A=1Equation of line isx2+y=1

The equation to the line bisecting the joining of (3,-4) and (5,2) having its intercepts on X axis and Y axis in the ratio 2:1 is