Find the equation of the lines through the point of intersection of 2x + 3y =7 and x + 3y - Maths - Straight Lines

Question

Find the equation of the lines through the point of intersection of
2x + 3y =7 and x + 3y =5, which cuts the co-ordinate axes at points
equidistant from origin

Saksham Tolani · Accepted Answer

Dear Student,

Since, required line cuts the co-ordinate axes at points equidistant from origin
So, let required line be,xa+ya=1x+y=a ----(1)Now, solving, the other two lines, i
e
 2x+3y=7  ---(2)x+3y=5  ---(3)(2)-(3)x=2y=1So, these values will satisfy equation (1),So,2+1=aa=3So, required line is,x+y=3

Regards!

Find the equation of the lines through the point of intersection of 2x + 3y =7 and x + 3y =5, which cuts the co-ordinate axes at points equidistant from origin.