Edexcel Core Mathematics C2 June 2012 Past Paper
Core 2 Mathematics Edexcel June 2012 Question 1
1. Find the first 3 terms, in ascending powers of x, of the binomial expansion of
(2 – 3x)5
giving each term in its simplest form.
2 log3 x – log3(x – 2) = 2
x2 + y2 – 20x – 16y + 139 = 0
(a) Find the coordinates of the centre of C.
(b) Show that r = 5
The line L has equation x = 13 and crosses C at the points P and Q as shown in Figure 1.
(c) Find the y coordinate of P and the y coordinate of Q.
Given that, to 3 decimal places, the angle PTQ is 1.855 radians,
(d) find the perimeter of the sector PTQ.
(a) Use the factor theorem to show that (x + 2) is a factor of f(x).
(b) Factorise f(x) completely.
The line and the curve intersect at the points A and B, and O is the origin.
(a) Calculate the coordinates of A and the coordinates of B.
The shaded area R is bounded by the line and the curve, as shown in Figure 2.
(b) Calculate the exact area of R.
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