24 MATHEMATICS AMATHOLE EAST DISTRICT GRADE 12/2024 3.2 TV and VU are tangents to the circle with centre O at T and U respectively. TSRUY are pointson the circle such chat RT is the diameter. X is the midpoint of chord TU. T=y. T S 2 Prove that: 1 2 12 R 3 3 y X 2/3 32 U 3.2.1 RU||SY (5) 3.2.2 TOUV is a cyclic quadrilateral (5) 3.2.3 VU is a Tangent to the circle passing through U, O, X at U (5) [20]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 37E
Question
24
MATHEMATICS
AMATHOLE EAST DISTRICT
GRADE 12/2024
3.2 TV and VU are tangents to the circle with centre O at T and U respectively. TSRUY are pointson
the circle such chat RT is the diameter. X is the midpoint of chord TU. T=y.
T
S
2
Prove that:
1
2
12
R
3
3
y
X
2/3
32
U
3.2.1 RU||SY
(5)
3.2.2
TOUV is a cyclic quadrilateral
(5)
3.2.3
VU is a Tangent to the circle passing through U, O, X at U
(5)
[20]
Transcribed Image Text:24 MATHEMATICS AMATHOLE EAST DISTRICT GRADE 12/2024 3.2 TV and VU are tangents to the circle with centre O at T and U respectively. TSRUY are pointson the circle such chat RT is the diameter. X is the midpoint of chord TU. T=y. T S 2 Prove that: 1 2 12 R 3 3 y X 2/3 32 U 3.2.1 RU||SY (5) 3.2.2 TOUV is a cyclic quadrilateral (5) 3.2.3 VU is a Tangent to the circle passing through U, O, X at U (5) [20]
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