Points $$$A$$$ and $$$B$$$ have coordinates $$$(4,3)$$$ and $$$(8,-5)$$$ respectively. A circle with radius 10 passes through the points $$$A$$$ and $$$B$$$. Show that the centre of the circle lies on the line $$$y=\frac{1}{2} x-4$$$. ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ .

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w24_qp_13 Year：2024 Question No：10(a)

Answer:

Knowledge points:

1.7.1 understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations for first and second derivatives (Only an informal understanding of the idea of a limit is expected.)

1.7.2 use the derivative of (for any rational ), together with constant multiples, sums and differences of functions, and of composite functions using the chain rule

Answer:

Knowledge points:

Solution:

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