Edexcel Oct 2020 IAL Pure Maths WMA11/01
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Edexcel Oct 2020 IAL Pure Maths WMA11/01 (pdf)
- Given that
find the values of the constants a, b and c. - f(x) = 3 + 12x – 2x2
(a) Express f(x) in the form
a – b(x + c)2
where a, b and c are integers to be found.
The curve with equation y = f(x) – 7 crosses the x‑axis at the points P and Q and crosses the y-axis at the point R.
(b) Find the area of the triangle PQR, giving your answer in the form m√n where m and n are integers to be found. - Figure 1 shows the design for a badge.
The design consists of two congruent triangles, AOC and BOC, joined to a sector AOB of a circle centre O.
- Angle AOB = α
- AO = OB = 3 cm
- OC = 5 cm
Given that the area of sector AOB is 7.2cm2
(a) show that α = 1.6 radians.
- Use algebra to solve the simultaneous equations
y – 3x = 4
x2 + y2 + 6x – 4y = 4
You must show all stages of your working. - Figure 2 shows a sketch of the curve with equation y = f(x).
The curve passes through the points (–5, 0) and (0, –3) and touches the x‑axis at the point (2, 0).
On separate diagrams sketch the curve with equation
(a) y = f(x + 2)
(b) y = f(–x)
On each diagram, show clearly the coordinates of all the points where the curve cuts or touches the coordinate axes.
- The point A has coordinates (–4, 11) and the point B has coordinates (8, 2).
(a) Find the gradient of the line AB, giving your answer as a fully simplified fraction. The point M is the midpoint of AB. The line l passes through M and is perpendicular to AB.
(b) Find an equation for l, giving your answer in the form px + qy + r = 0 where p, q and r are integers to be found.
The point C lies on l such that the area of triangle ABC is 37.5 square units.
(c) Find the two possible pairs of coordinates of point C - The curve C has equation
- The curve C has equation
y = (x – 2)(x – 4)2
(a) Show that - A curve with equation y = f(x) passes through the point (9, 10). Given that
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