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Perpendicular Lines and the equation of a tangent

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Question 19

A circle has the equation x2+y2=10x^2 + y^2 = 10x2+y2=10

a.

Write down the coordinates of the centre of the circle.

[1]
b.

Write down the exact length of the radius of the circle.

[1]
c.

P P\,P is the point (3,−1)(3, -1)(3,−1) on the circle x2+y2=10x^2 + y^2 = 10x2+y2=10

Work out the equation of the tangent to the circle at PPP.

[4]

Perpendicular Lines and the equation of a tangent Questions

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