Questions and Worked Video Solutions for C4 Edexcel Core Mathematics June 2011.

Related Topics:

More videos, solutions, activities and worksheets that are suitable for A Level Maths

Edexcel Core Mathematics C4 June 2011 Past Paper

C4 Mathematics Edexcel June 2011 Question 6

6. With respect to a fixed origin O, the lines l

where λ and μ are scalar parameters.

(a) Show that l_{l} and l_{2} meet and find the position vector of their point of intersection A.

(b) Find, to the nearest 0.1°, the acute angle between l_{1} and l_{2}

The point B has position vector

(c) Show that B lies on l_{1}

(d) Find the shortest distance from B to the line l_{2}, giving your answer to 3 significant figures.

6 (a) Vectors

Figure 3 shows part of the curve C with parametric equations

x = tanθ, y = sinθ , 0 ≤ θ < π/2

The point P lies on C and has coordinates (√3, ½√3)

(a) Find the value of ș at the point P.

The line l is a normal to C at P. The normal cuts the x-axis at the point Q.

(b) Show that Q has coordinates (k√3, 0) , giving the value of the constant k.

The finite shaded region S shown in Figure 3 is bounded by the curve C, the line x = √3 and the x-axis. This shaded region is rotated through 2π radians about the x-axis to form a solid of revolution.

(c) Find the volume of the solid of revolution, giving your answer in the form pπ√3 + qπ^{2}, where p and q are constants.

7 (a) Parametric equations

7 (c) Volume of Revolution to a Parametric Curve

8. (a) Find ∫(4y + 3)

(b) Given that y =1.5 at x = – 2, solve the differential equation

dy/dx = √(4y + 3)/x^{2}

giving your answer in the form y x = f( ).

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.