EDEXCEL Further Maths Core Pure Year 1: Exam Questions & 100% Verified Answers (A Guaranteed)

EDEXCEL FURTHER MATHS CORE
PURE YEAR 1 EXAM QUESTIONS AND
100% VERIFIED ANSWERS/GRADED
A+/GUARANTEED PASS!



(nΣr=1) (f(r) + g(r)) =
- answers-(nΣr=1) f(r) + (nΣr=1) g(r)

(nΣr=1) kf(r) =
- answers-k(nΣr=1) f(r)

Argand diagram
- answers-- Represents complex numbers
- x-axis is the real axis and y-axis is the imaginary axis
- z = x + iy is represented by the point P(x,y) where x and y are Cartesian coordinates

Argument of a complex number
- answers-the angle its corresponding vector makes with the positive real axis

Complex number
- answers-Written in the form a + bi, where a, b ∈ R

Complex numbers can be added or subtracted by
- answers-adding or subtracting their real parts and adding or subtracting their
imaginary parts

For a complex number z = x + iy, the modulus is given by
- answers-|z| = root(x² + y²)

For a complex number z =x + iy, the argument theta satisfies
- answers-tantheta = y/x

For a complex number z with |z| = r and arg(z) = theta, the modulus-argument form of z
is
- answers-z = r(cos(theta) + isin(theta))

, For any complex number z = a + bi, the complex conjugate of the number is defined as
- answers-z* = a - bi

For any two complex numbers z1 and z1, arg(z1z2) =
- answers-arg(z1) + arg(z2)

For any two complex numbers z1 and z2, |z1/z2| =
- answers-|z1|/|z2|

For any two complex numbers z1 and z2, arg(z1/z2) =
- answers-arg(z1) - arg(z2)

For any two complex numbers z1 and z2' |z1z2| =
- answers-|z1||z2|

For two complex numbers z1 = x1 + iy1 and z2 = x2 + iy2, |z2 - z1| represents
- answers-the distance between the points z1 and z2 on an Argand diagram

Given z1 = x1 + iy1, and z2 = x2 + iy2, the locus of points z on an Argand diagram such
that |z - z1| = |z - z2| is
- answers-the perpendicular bisector of the line segment joining z1 and z2

Given z1 = x1 + iy1, the locus of point z on an Argand diagram such that |z - z1| = r, or
|z - (x1 + iy1)|, is
- answers-a circle with centre (x1,y1) and radius r.

Given z1 = x1 + iy1, the locus of points z on an Argand diagram such that arg(z - z1) =
theta is
- answers-a half line from, but not including, the fixed point z1, making an angle theta
with a line from the fixed point z1 parallel to the real axis

half line
- answers-A straight line extending from a point infinitely in one direction only

i=
- answers-√-1

i² =
- answers--1

If b² - 4ac < 0, then the quadratic equation ax² + bx + c has
- answers-two distinct complex roots, neither of which are real

If the roots of an equation are α and β, you can determine the relationship between the
- answers-coefficients of the terms in the quadratic equation and the values of α and β