8 The radius of the circle x2 + y2 + 8x + 10y + p = 0 is 7 - Maths - Geometry and Algebra

Question

8 The radius of the circle x2 + y2 + 8x + 10y + p = 0 is 7
ﬁnd the value of p

Ankita Agarwal · Accepted Answer

Dear Student,

x2+y2+8x+10y+p=0                    
1We need to make thus in formx-h2+y-k2 = r2

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5bf77d8c9d009%20jpg">
x+42+y+52= -P+16+25x+42+y+52 = -P+41x--42+y--52 =-P+41                
2Compairing 2 with x-h2+y-k2 = r2r2 = -P+41Given: radius = 749 = -P+41p=41-49p = -8

Regards

8. The radius of the circle x2 + y2 + 8x + 10y + p = 0 is 7. ﬁnd the value of p