FP1 June 2016 Edexcel Exam Paper Question 7
Question7. A complex number z is given by z = a + 2i where a is a non-zero real number. (a) Find z2 + 2z in the form x + iy where x and y are real expressions in terms of a. (4) Given that z2 + 2z is real, (b) find the value of a. (1) Using this value for a, (c) find the values of the modulus and argument of z, giving the argument in radians, and giving your answers to 3 significant figures. (3) (d) Show the points P, Q and R, representing the complex numbers z, z2 and z2 + 2z respectively, on a single Argand diagram with origin O. (3) (e) Describe fully the geometrical relationship between the line segments OP and QR. (2)
It is difficult to write an answer out to a maths question so I will go through the question in detail in the interview.
8030 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Use algebra to find the set of values of x for which mod(3x^2 - 19x + 20) < 2x + 2.
Find the complex number z such that 5iz+3z* +16 = 8i. Give your answer in the form a + bi, where a and b are real numbers.
In simple harmonic motion, where would the object have the largest speed. If the angular velocity is 2 rad s^-1, and the amplitude is 1m, what is the largest speed obtained by the object?
What are differential equations, and why are they important?