A diameter of a circle $$\(C_{1}\)$$ has end-points at $$\((-3,-5)\)$$ and $$\((7,3)\)$$. Find an equation of the circle $$\(C_{1}\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No：9709_m20_qp_12 Year：2020 Question No：12(a)
Answer:
Centre \(=(2,-1)\)
\(r^{2}=[2-(-3)]^{2}+[-1-(-5)]^{2}\) or \([2-7]^{2}+[-1-3]^{2}\) OE
\((x-2)^{2}+(y+1)^{2}=41\)
\(r^{2}=[2-(-3)]^{2}+[-1-(-5)]^{2}\) or \([2-7]^{2}+[-1-3]^{2}\) OE
\((x-2)^{2}+(y+1)^{2}=41\)
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:
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