Presentation Maths Edexcel AS and A level Mathematics Pure

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, Prior Knowledge Check
1) Write each of the following 3) Use the discriminant to
in the form 𝑥 + 𝑝 2 + 𝑞 determine whether the
following have two real
a) 𝑥 2 + 10𝑥 + 28 (𝒙 + 𝟓)𝟐 +𝟑 solutions, one real solution, or
b) 𝑥 2 − 6𝑥 + 1 (𝒙 − 𝟑)𝟐 −𝟖 no solutions.
c) 𝑥 2 − 12𝑥 (𝒙 − 𝟔)𝟐 −𝟑𝟔 a) 𝑥 2 − 7𝑥 + 14 = 0 𝑵𝒐𝒏𝒆
d) 𝑥 2 + 7𝑥 𝟕 𝟐
𝟒𝟗 b) 𝑥 2 + 11𝑥 + 8 = 0 𝑻𝒘𝒐
𝒙+ −
𝟐 𝟒 c) 4𝑥 2 + 12𝑥 + 9 = 0 𝑶𝒏𝒆
2) Find the equation of the line
passing through each of the
4) Find the equation of the line
following pairs of points 𝟗
that passes through the point
a) (0,-6) and (4,3) 𝒚 = 𝟒 𝒙 − 𝟔 (3,-4) and is perpendicular to
𝟏 𝟑 the line with equation
b) (7,-5) and (-9,3) 𝒚 = − 𝒙 −
𝟐 𝟐 6𝑥 − 5𝑦 − 1 = 0.
c) (-4,-2) and (5,10) 𝟒 𝟏𝟎 𝟓 𝟑
𝒚= 𝒙+ 𝒚=− 𝒙−
𝟑 𝟑 𝟔 𝟐

,
, Circles
You can find the midpoint of a line Find the midpoint of this pair of points:
segment by finding the means of the
𝒙 and 𝒚 coordinates.


→ You can find the mid-point of a line by
using the following formula:
Let the first coordinate
be (x1,y1) and the
second be (x2,y2)

Calculate
→ Where (x1,y1) and (x2,y2) are the ends
of the line segment




6A