MCS Trigonometry and Algebra Center and Radius of The Circle Problem

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1.
Solve the equation 2y+ – 7y+ +3 = 0.
[5]
2.
O
The diagram shows the circle with equation x² + y2 – 8x – 6y–20 = 0.
(1) Find the centre and radius of the circle.
[3]
The circle crosses the positive x-axis at the point A.
(ü) Find the equation of the tangent to the circle at A.
[6]
(iii) A second tangent to the circle is parallel to the tangent at A. Find the equation of this second tangent.
[3]
(iv) Another circle has centre at the origin O and radius r. This circle lies wholly inside the first circle.
Find the set of possible values of r.
[2]
3.
Express the following in the form 2.
(i) (29=27)3
(i) 5×4$+3x 166
[2]
[3]

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Tags:
Equation of the tangent

Centre and Radius of The Circle

abscise is the
negative root

Trigonometry and Algebra

maximal
radius

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