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Edexcel Core Mathematics C2 June 2009




 

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

6. 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

7. (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

8. (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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