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Differentiate the original equation (y = x^2) to find the gradient (m) of the line which is a tangent to the curve.

Dy/dx = 2x 

Therefore m = 2

Calculate the negative reciprocal (m2) ...

From reading the question, we need to use the addition formula for sin(A+B)= sinAcosB+cosAsinB. So we need to think what are two common values for sine and cosine that we know and have exact answers for t...

Equation of a circle  ->  (x-a)² + (y-b)^2 = r²     where the centre = (a,b) and the radius = r

Thus using the equation above we can conclude that the centre is (2,-5)

This question might look hard but can be easily answered by breaking it down into steps and remembering a few key things. The first step is to recognise that the question is mentioning a stationary point ...