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Q27: Answers – Paper 3 – November 2018
Q27: Answers – Paper 3 – November 2018
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The line y = 3x + p and the circle x2 + y2 = 53 intersect at points A and B. p is a positive integer.
a) Show that the x-coordinates of points A and B satisfy the equation
10x2 + 6px + p2 – 53 = 0
b) The coordinates of A are (2, 7)
Work out the coordinates of B.
You must show your working.
Question
27) The line y = 3x + p and the circle x2 + y2 = 53 intersect at points A and B. p is a positive integer.
27 a) Show that the x-coordinates of points A and B satisfy the equation
10x2 + 6px + p2 – 53 = 0
[3 marks]
27 b) The coordinates of A are (2, 7)
Work out the coordinates of B.
You must show your working.
Work out the coordinates of B.
You must show your working.
[5 marks]