A circle, C, has equation x 2 + y 2 4x + 6y = 12 a.
Question:
A circle, C, has equation x2 + y2 − 4x + 6y = 12
a. Show that the point A(5, 1) lies on C and find the centre and radius of the circle.
b. Find the equation of the tangent to C at point A. Give your answer in the form y = ax + b where a and b are rational numbers.
c. The curve y = x2 − 2 intersects this tangent at points P and Q. Given that O is the origin, find, as a fraction in simplest form, the exact area of the triangle POQ.
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Related Book For 
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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