Paper 1: Non-calculator June 2025, Question 10 4 marks
PQ is perpendicular to QR.
Work out the value of a.
Reveal mark scheme
AQA Level 2 Certificate Further Maths
Topic questions Pure mathematics Parallel and perpendicular lines
5 questions · 17 marks · about 20 minutes
PQ is perpendicular to QR.
Work out the value of a.
The equations of two straight lines are
y – 3 x = 4 and 6 y = 18 x – 5
Show that the lines are parallel.
Line K has equation 4 x – 5 y = 17 Line L passes through the points (3, 6) and (– 5, 16)
Tick (✓) the correct statement about lines K and L.
Show working to support your answer.
Line A has equation y + 4 x = 6 Line B is parallel to line A and passes through the point (2, 1) The point (d, 2 d) lies on line B.
Work out the value of d.
P is the point on the curve y = ax3 + 10x2 where x = 2 The gradient of the normal to the curve at P is –
Work out the value of a.
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