A circle has centre at the point $$\(B(5,1)\)$$. The point $$\(A(-1,-2)\)$$ lies on the circle. Find the equation of the circle. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................
Exam No：9709_w20_qp_12 Year：2020 Question No：9(a)
Answer:
\(r=\sqrt{\left(6^{2}+3^{2}\right)}\) or \(r^{2}=45\)
\((x-5)^{2}+(y-1)^{2}=r^{2}\) or \(x^{2}-10 x+y^{2}-2 y=r^{2}-26\)
\((x-5)^{2}+(y-1)^{2}=45\) or \(x^{2}-10 x+y^{2}-2 y=19\)
\((x-5)^{2}+(y-1)^{2}=r^{2}\) or \(x^{2}-10 x+y^{2}-2 y=r^{2}-26\)
\((x-5)^{2}+(y-1)^{2}=45\) or \(x^{2}-10 x+y^{2}-2 y=19\)
Knowledge points:
1.3.2 interpret and use any of the forms in solving problems (Including calculations of distances, gradients, midpoints, points of intersection and use of the relationship between the gradients of parallel and perpendicular lines.)
1.3.3 understand that the equation represents the circle with centre and radius (Including use of the expanded form.)
Solution:
Download APP for more features
1. Tons of answers.
2. Smarter Al tools enhance your learning journey.
IOS
Download
Download
Android
Download
Download
Google Play
Download
Download