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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

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

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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