Question

(42.) AABC is a right angled triangle, in which
A(0, 2) and B(2, 0) are given. Then, find the
coordinates of C.
​

Answer 1

Answer:C(0,0) or C(2,2)

Step-by-step explanation:

Let C (x, y) , of we assume C is right angle .

then, BC will be perpendicular upon AC.

so, slope of BC × slope of AC = -1

or, (y - 0)/(x - 2) × (y - 2)/(x - 0) = -1

or, y(y - 2)/x(x - 2) = -1

or, y² - 2y + x² - 2x = 0

it is only when x = 0 or 2 also y = 0 or 2

so, C (0,0) and (2,2)