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Section B Q5. Two nonrintersecting circles C I . containing points M and S, and C 2 ,eontaining points N and R, have centres P and Q where ['0 = 50 . The line segments [MN] and [SR] are common tangents to the circles. The size of the reex angle MP5 is at . the size of the obtuse angle NQR is , and the size of the angle MP0 is B. The arc length MS is i" and the arc length NR is .12 . This information is represented in the diagram below. S ' diagram nor to scale The radius of C] is x, where x210 and the radius of {I2 is 10. (a) Explain why I <: . show that cosb: x-10 find an expression for mn in terms of the value x maximises mn. or a length perimeter is given by el sr. b x. maximum perimeter. gives yi y2 and y3 form geometric sequence determine common ratio r. mark marks>