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1 of 8 0-day streak

Intersections and tangents of a line and a circle

DIFFICULTYchallenge
Question 1 of 8

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A circle and a line are given below

\[\left(x+5\right)^2+\left(y+3\right)^2=5\]
\[y=2x + 7\]
(a)1 mark

Classify the number of intersections of the line and circle

(b)4 marks

Enter the coordinates of the two common points in increasing \(x\)-order