# Edexcel Core Mathematics C1 May 2014 Part 3

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Questions and Worked Solutions for C1 Edexcel Core Mathematics May 2014, Part 3
Edexcel Core Mathematics C1 May 2014 Past Paper

Core 1 Mathematics Edexcel May 2014 Question 9a

The line l1, shown in Figure 2 has equation 2x + 3y = 26
The line l2 passes through the origin O and is perpendicular to l1
(a) Find an equation for the line l2
The line l2 intersects the line l1 at the point C.
Line l1 crosses the y-axis at the point B as shown in Figure 2.
(b) Find the area of triangle OBC.
Give your answer in the form a/b, where a and b are integers to be determined.
Core 1 Mathematics Edexcel May 2014 Question 9b Core 1 Mathematics Edexcel May 2014 Question 10a A curve with equation y = f(x) passes through the point (4, 25).
Given that
f'(x) = 3/8x2 – 10x−1/2, x > 0
(a) find f(x), simplifying each term.
(b) Find an equation of the normal to the curve at the point (4, 25).
Give your answer in the form ax + by + c = 0, where a, b and c are integers to be found.
Core 1 Mathematics Edexcel May 2014 Question 10b

Core 1 Mathematics Edexcel May 2014 Question 11a
Given that
f(x) = 2x2 + 8x + 3
(a) find the value of the discriminant of f(x).
(b) Express f(x) in the form p(x + q)2 + r where p, q and r are integers to be found.
The line y = 4x + c, where c is a constant, is a tangent to the curve with equation y = f(x).
(c) Calculate the value of c.
Core 1 Mathematics Edexcel May 2014 Question 11b Core 1 Mathematics Edexcel May 2014 Question 11c

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