ABC is a right angled triangle in which A(0,2) and B(2,0) are given. Then coordinates of C are :

1. (0,0)

2. (2,2)

3.(1,1)

4.(-2,-2)

Question

ABC is a right angled triangle in which A(0,2) and B(2,0) are
given Then coordinates of C are :
1 (0,0)
2 (2,2)
3 (1,1)
4 (-2,-2)

Koka Sri Lakshmi Divya Sai · Accepted Answer

If your question is

ABC is a right angled isosceles triangle in which A(0,2) and B(2,0)
are given Then coordinates of C are :
Sol:
GivenA(0,2) and B(2,0)Let Co-ordinates of C(x,y)Given ABC is a
isosceles triangleAC=BC⇒(x-0)2+y-22=x-22+y-02Squaring on both
sides⇒x2+y-22=x-22+y2⇒x2+y2-4y+4=x2-4x+4+y2⇒x=yABC
is a right
triangleAB2=AC2+BC2⇒(2-0)2+0-222=(x-0)2+y-222+x-22+y-022⇒82=x2+(x-2)2+(x-2)2+x2⇒8=4x2-8x+8⇒4x(x-2)=0⇒x=0,2and
y=0,2So,Co-ordinates of C(0,0) or C(2,2)

ABC is a right angled triangle in which A(0,2) and B(2,0) are given. Then coordinates of C are : 1. (0,0) 2. (2,2) 3.(1,1) 4.(-2,-2)

ABC is a right angled triangle in which A(0,2) and B(2,0) are given. Then coordinates of C are :

1. (0,0)

2. (2,2)

3.(1,1)

4.(-2,-2)