A-LevelMathematicsCoordinate geometry9709/12 · May/June 2021 · Q75 Marks
The point A has coordinates (1, 5) and the line l has gradient −2/3 and passes through A. A circle has centre (5, 11) and radius √52.
- (a)Show that l is the tangent to the circle at A.[2]
- (b)Find the equation of the other circle of radius √52 for which l is also the tangent at A.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.
- [M1] For substituting (1,5) into circle equation or showing gradient=3/2
- [A1] Clear reasoning.
- [B1 B1] Centre is (-3, -1)
- [B1 FT] Equation is (x + 3)² + (y + 1)² = 52
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