a(-1,1),b(5,3) are opposite vertices of a square the equation of the other diagonal (not passing through a,b) of a square - Maths - Straight Lines

Question

a(-1,1),b(5,3) are opposite vertices of a square the equation of
the other diagonal (not passing through a,b) of a square is?

Neha Sethi · Accepted Answer

Dear student
Given: Here,AB is the diagonal of square
The vertices of a square A(-1,1) and B(5,3)Let the mid-point of AB be EThen coordinates of E are 1+32,-1+52=2,2Therefore equation of other diagonal isy-y1=mx-x1⇒y-2=-13-15+1x-2⇒y-2=-62x-2⇒y-2=-3x-2⇒y-2=-3x+6⇒y+3x-8=0
Regards

a(-1,1),b(5,3) are opposite vertices of a square.the equation of the other diagonal (not passing through a,b) of a square is?