Question

How to calculate opposite angular points in a square in coordinate geometry?

Answer 1

Hey there,

Suppose you are given two points (3,4) and (1,-1) you calculate the slope m=5/2 which is a diagonal.
Now find the slope of other diagonal since the angle between them is 45 degrees
 Eqⁿ of other line will be 4x+10y=23

Now calculate the slope of sid eof square passing through (1,-1) we get 3x-7y=23
Solving the equations we can derive the other two sides..

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Answer 2

Calculate the equation of side and diagnol of the square.
Now, solve the equation and you will get one pont.

Now do the same with other point and diagnol to get the other point.

Hope it helps!!