Questions and Video Solutions for C1 Edexcel Core Mathematics June 2009.

Related Topics:

A Level Maths

### C1 Mathematics Edexcel June 2009 Question 6

6. The equation x^{2} + 3px + p = 0, where p is a non-zero constant, has equal roots.

Find the value of p.### C1 Mathematics Edexcel June 2009 Question 7

7. A sequence a_{1}, a_{2}, a_{3}, ... is defined by

a_{1} = k,

a_{n+1} = 2 a_{n} - 7, n ≥ 1,

where k is a constant.

(a) Write down an expression for a_{2} in terms of k.

(b) Show that a_{3} = 4k – 21.

Given that Σar = 43,

(c) find the value of k.### C1 Mathematics Edexcel June 2009 Question 8

### C1 Mathematics Edexcel June 2009 Question 9

### C1 Mathematics Edexcel June 2009 Question 10

### C1 Mathematics Edexcel June 2009 Question 11

Related Topics:

A Level Maths

Edexcel Core Mathematics C1 June 2009 Past Paper

Find the value of p.

a

a

where k is a constant.

(a) Write down an expression for a

(b) Show that a

Given that Σar = 43,

(c) find the value of k.

The points A and B have coordinates (6, 7) and (8, 2) respectively.

The line l passes through the point A and is perpendicular to the line AB, as shown in
Figure 1.

(a) Find an equation for l in the form ax + by + c = 0, where a, b and c are integers.

Given that l intersects the y-axis at the point C, find

(b) the coordinates of C,

(c) the area of △OCB, where O is the origin.

f(x) = (3 - 4√x)^{2}/√x, x > 0

(a) Show that f(x) = 9x^{-1/2} + Ax^{1/2} + B, where A and B are constants to be found.

(b) Find f'(x).

(c) Evaluate f'(9).

10. (a) Factorise completely x^{3} – 6x^{2} + 9x

(b) Sketch the curve with equation

y = x^{3} – 6x^{2} + 9x

showing the coordinates of the points at which the curve meets the x-axis.

Using your answer to part (b), or otherwise,

(c) sketch, on a separate diagram, the curve with equation

y = (x – 2)^{3} – 6(x – 2)^{2} + 9(x – 2)

showing the coordinates of the points at which the curve meets the x-axis.

11. The curve C has equation y = x^{3} – 2x^{2} – x + 9, x > 0

The point P has coordinates (2, 7).

(a) Show that P lies on C.

(b) Find the equation of the tangent to C at P, giving your answer in the form y = mx + c,

where m and c are constants.

The point Q also lies on C.

Given that the tangent to C at Q is perpendicular to the tangent to C at P,

(c) show that the x-coordinate of Q is ⅓(2 + √6)

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.