Question

A(2,-3),B(-2,1) are opposite vertices of a rhombus.then the equation of the other diagonal of the rhombus is given by

Answer 1

Answer:

Step-by-step explanation:

equation of one diagonal is

(y-1)/(x+2)=(1+3)/(-2-2)

(y-1)/(x+2)=-1

y-1=-x-2

x+y+1=0

the other diagonal equation is

in a rhombus diagonals are perpendicular to each other

so the product of slopes must be -1.

the slope of (1) is -1

and the slope of its perepndiculat be 1

so the other equation is -x-y+1=0