May/June 2026 Paper 11

2026 · 11 questions · 19 parts · 75 marks

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Q1
1
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Q2
2(a)(i)2(a)(ii)2(b)
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Q3
3
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Q4
4
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Q5
5
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Q6
6
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Q7
7(a)7(b)
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Q8
8
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Q9
9(a)9(b)(i)9(b)(ii)
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Q10
10(a)10(b)10(c)(i)10(c)(ii)
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Q11
11
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11Coordinate Geometry CirclesHard9 marks
circle (x-8)^2+(y-10)^2=40 on x- and y-axes through the origin O, with two tangent lines drawn to it: one tangent touches the circle at (6,16) and meets the y-axis above O at the point P; the other tangent touches the circle at (14,8) and meets the x-axis to the right of O at the point R; the two tangents meet above and to the right of the circle at the point Q, so OPQR is a quadrilateral enclosing the circle.
The diagram shows a circle with equation
The tangent to the circle at the point meets the -axis at the point . The tangent to the circle at the point meets the -axis at the point . The two tangents meet at the point .
Find the exact area of the quadrilateral .
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