Edexcel Core Mathematics C2 June 2009


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Questions and Video Solutions for C2 Edexcel Core Mathematics June 2009
Edexcel Core Mathematics C2 June 2009 Past Paper

C2 Mathematics Edexcel June 2009 Question 6

  1. The circle C has equation
    x2 + y2 - 6x + 4y = 12
    (a) Find the centre and the radius of C.
    The point P(–1, 1) and the point Q(7, –5) both lie on C.
    (b) Show that PQ is a diameter of C.
    The point R lies on the positive y-axis and the angle PRQ = 90°.
    (c) Find the coordinates of R.

C2 Mathematics Edexcel June 2009 Question 7

  1. (i) Solve, for –180° ≤ θ < 180°,
    (1 + tanθ)(5 sinθ - 2) = 0
    (ii) Solve, for 0 ≤ x < 360°,
    4sin x = 3tan x.

C2 Mathematics Edexcel June 2009 Question 8

  1. (a) Find the value of y such that
    log2 y = –3
    (b) Find the values of x such that
    (log2 32 + log2 16)/log2 x = log2 x



C2 Mathematics Edexcel June 2009 Question 9

Figure 2 shows a closed box used by a shop for packing pieces of cake. The box is a right prism of height h cm. The cross section is a sector of a circle. The sector has radius r cm and angle 1 radian.
The volume of the box is 300 cm3
(a) Show that the surface area of the box, S cm2 , is given by S = r2 + 1800/r
(b) Use calculus to find the value of r for which S is stationary.
(c) Prove that this value of r gives a minimum value of S.
(d) Find, to the nearest cm2, this minimum value of S.

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