The coordinates of the points $A$ and $B$ are $(-1,-2)$ and $(7,4)$ respectively. Find the equation of the circle, $$\(C\)$$, for which $$\(A B\)$$ is a diameter.
Exam No:9709_s20_qp_11 Year:2020 Question No:10(a)
Answer:
Centre is \((3,1)\)
Radius \(=5\) (Pythagoras)
Equation of \(\mathrm{C}\) is \((x-3)^{2}+(y-1)^{2}=25\)
(FT on their centre)
Radius \(=5\) (Pythagoras)
Equation of \(\mathrm{C}\) is \((x-3)^{2}+(y-1)^{2}=25\)
(FT on their centre)
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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