Question

18.
Find the length of the chord intercepted by the circle
X2 + y2 - x + 3y - 22 = () on the line y = x -3​

Answer 1

Answer:

Legnth of chord=2$\sqrt{2$

Step-by-step explanation:

Put y=x-3 in the circle equation

x2+(x-3)^2-x+3(x-3)=0

x2+x2-6x+9-x+3x-9=0

2x2-4x=0

2x(x-2)=0

x = 0 or 2

So, the intersection points are (0,-3) and (2,-1)

Length of the chord= sqrt{(2-0)^2+(-1+3)^2)=sqrt(4+4)=2$\sqrt{2$