Question

. Find the length of the chord intercepted by the circle x2 + y2 - 8x - 2y - 8 = 0 on the
line x + y + 1 =0.​

Answer 1

Answer:

The equation of the circle can be written as

(x−4)

2

+(y−1)

2

−16−1−8=0

(x−4)

2

+(y−1)

2

=25.

Now the points of intersection of the line and the circle can be found out by substituting the equation of the line in the circle.

y=−(x+1)

Hence

(x−4)

2

+(−x−1−1)

2

=25

(x−4)

2

+(−x−2)

2

=25

(x

2

−8x+16)+(x

2

+4x+4)=25