The diagram shows a circle with centre $$\(A\)$$ passing through the point $$\(B\)$$. A second circle has centre $$\(B\)$$ and passes through $$\(A\)$$. The tangent at $$\(B\)$$ to the first circle intersects the second circle at $$\(C\)$$ and $$\(D\)$$. The coordinates of $$\(A\)$$ are $$\((-1,4)\)$$ and the coordinates of $$\(B\)$$ are $$\((3,2)\)$$. Find an equation of the circle with centre $$\(B\)$$. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................
Exam No：9709_w20_qp_11 Year：2020 Question No：9(b)
Answer:
\(A B^{2}=4^{2}+2^{2}=20\) or \(r^{2}=20\) or \(r=\sqrt{20}\) or \(A B=\sqrt{20}\)
Equation of circle centre \(B\) is \((x-3)^{2}+(y-2)^{2}=20\)
Equation of circle centre \(B\) is \((x-3)^{2}+(y-2)^{2}=20\)
Knowledge points:
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