The equation of the circle x² + y² - 10x - 4y + 12 = 0 is given. AB and AC are tangents to the circle. 0 A (2: -3) M B x

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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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Question 2.2 please As detailed as possible, thanks.
ZIMPC
CAL GOVE
2.1
QUESTION 2
The equation of the circle x² + y² - 10x - 4y + 12 = 0 is given. AB and AC are tangents
to the circle.
2.3
2.4
TRIC
Determine:
A (2; -3)
2.1.1 The coordinates of M, the centre of the circle.
2.1.2 The length of the radius.
2.2
9
B
x
Show the algebraically that the co-ordinates of B are (6; -2).
Calculate AB, the length of the tangent from the point A(2:-3) to B.
If it is further given that AB = AC, deduce that the shape formed by these two
tangents and the two radii through the points of contact of the circle is a rhombus.
The heartland of southern Africa, dovelopment
Transcribed Image Text:ZIMPC CAL GOVE 2.1 QUESTION 2 The equation of the circle x² + y² - 10x - 4y + 12 = 0 is given. AB and AC are tangents to the circle. 2.3 2.4 TRIC Determine: A (2; -3) 2.1.1 The coordinates of M, the centre of the circle. 2.1.2 The length of the radius. 2.2 9 B x Show the algebraically that the co-ordinates of B are (6; -2). Calculate AB, the length of the tangent from the point A(2:-3) to B. If it is further given that AB = AC, deduce that the shape formed by these two tangents and the two radii through the points of contact of the circle is a rhombus. The heartland of southern Africa, dovelopment
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