Question #267341

𝑥2 + 𝑦2 − 8𝑥 + 2𝑦 − 32 = 0?

1
Expert's answer
2021-11-17T17:16:54-0500

Since the question is incomplete, we find the type of conic section and its parameter.

Solution:

𝑥2+𝑦28𝑥+2𝑦32=0x28x+y2+2y=32(x4)242+(y+1)212=32(x4)2+(y+1)2=32+17(x4)2+(y+1)2=49(x4)2+(y+1)2=72𝑥^2 + 𝑦^2 − 8𝑥 +2𝑦 − 32 = 0 \\ \Rightarrow x^2-8x+y^2+2y=32 \\ \Rightarrow (x-4)^2-4^2+(y+1)^2-1^2=32 \\ \Rightarrow (x-4)^2+(y+1)^2=32+17 \\ \Rightarrow (x-4)^2+(y+1)^2=49 \\\Rightarrow (x-4)^2+(y+1)^2=7^2

It is a circle. On comparing with (xh)2+(yk)2=r2(x-h)^2+(y-k)^2=r^2, we get,

Centre=(h,k)=(4,1)=(h,k)=(4,-1) and radius=r=7=r=7 units.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS