AQA Level 2 Certificate Further Maths
Topic questions Pure mathematics Equation of a circle
8 questions · 32 marks · about 40 minutes
A circle has centre (2, 3) and radius 5 A straight line passes through (3, 7) and has a gradient of 2
Work out the coordinates of the two points where the circle and the straight line intersect.
C and E are points on the circle with equation x2 + y2 = 144 CD is a straight line. O D: DE = 5: 1
Work out the shaded area. Give your answer as a decimal.
Points A (โ 12, 1) and B (12, โ 1) lie on a circle. AB is a diameter of the circle.
Work out the equation of the circle.
A circle has centre (0, 0) and radius 5 A straight line has equation 2 y = x + 5
Work out the coordinates of the two points where the circle and straight line intersect. Do not use trial and improvement. You must show your working.
The equation of a circle is (x + 7)2 + (y โ 4)2 = 36
Complete these statements.
The coordinates of the centre of the circle are (
A (โ 2, 5) and B (4, 13) are points on a circle. AB is a diameter.
Work out the equation of the circle. Give your answer in the form (x โ a)2 + (y โ b)2 = c where a, b and c are integers.
A circle, centre C (4, โ 2), passes through the origin and point A (8, 0) on the x-axis. The tangent at A is shown.
Work out the equation of the circle.
Work out the equation of the tangent to the circle at A.
The equations of the two circles shown are
Work out the shaded area. Give your answer as an integer multiple of ฯ.
Memes
Laugh now. Cry in the exam hall later. Then come back and do a past paper.
Mum ๐
how's further maths going?? ๐ฅฐ
my answers are all complex rn
keep it simple love ๐
๐ฑ Screen time this week ยท Spotify4h 59m
Further Maths starter pack