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Mathematics Telematics Resources Gr 11 6.2 QUESTION 6 In the diagram, PN is a diameter of the circle with centre O. RT is a tangent to the circle at R. RT produced and PN produced meet at M. OT is perpendicular to NR. NT and OR are drawn. 6.2 6.3 6.4 6.5 7.1 7.2 athematics Resource (1).pdf QUESTION 7 In the diagram, the vertices A, B and C of AABC are concyclic. EB and EC are tangents to the circle at B and C respectively. I is a point on AB such that TE || AC. BC cuts TE in F. 7.3 7.4 7.5 Prove that TO || RP. It is further given tharN-x. Name TWO aher angles each equal to x Prove that NTRO is a cyclic quadrilateral. Calculate the size of Min terms of x. Show that NT is a tangent to the circle at N. February to October 2017 Prove that B₁ = 1₂- Prove that TBEC is a cyclic quadrilateral. Prove that ET bisects BTC. If it is given that TB is a tangent to the circle through B, F and E, prove that TB-TC. Hence, prove that T is the centre of the circle through A, B and C.

Mathematics Telematics Resources Gr 11 6.2 QUESTION 6 In the diagram, PN is a diameter of the circle with centre O. RT is a tangent to the circle at R. RT produced and PN produced meet at M. OT is perpendicular to NR. NT and OR are drawn. 6.2 6.3 6.4 6.5 7.1 7.2 athematics Resource (1).pdf QUESTION 7 In the diagram, the vertices A, B and C of AABC are concyclic. EB and EC are tangents to the circle at B and C respectively. I is a point on AB such that TE || AC. BC cuts TE in F. 7.3 7.4 7.5 Prove that TO || RP. It is further given tharN-x. Name TWO aher angles each equal to x Prove that NTRO is a cyclic quadrilateral. Calculate the size of Min terms of x. Show that NT is a tangent to the circle at N. February to October 2017 Prove that B₁ = 1₂- Prove that TBEC is a cyclic quadrilateral. Prove that ET bisects BTC. If it is given that TB is a tangent to the circle through B, F and E, prove that TB-TC. Hence, prove that T is the centre of the circle through A, B and C.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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23:02 N ♥1 1 43% athematicsResource (1).pdf Mathematics Telematics Resources Gr 11 20 February to October 2017 QUESTION 6 In the diagram, PN is a diameter of the circle with centre 0. RT is a tangent to the circle at R. RT produced and PN produced meet at M. OT is perpendicular to NR. NT and OR are drawn. R 6.2 Prove that TO || RP. 6.2 It is further given thaTRN =x. Name TWO aher angles each equal to x 6.3 Prove that NTRO is a cyclic quadrilateral. 6.4 Calculate the size of Min terms of x. 6.5 Show that NT is a tangent to the circle at N. QUESTION 7 In the diagram, the vertices A, B and C of AABC are concyclic. EB and EC are tangents to the circle at B and C respectively. T is a point on AB such that TE || AC. BC cuts TE in F. E Prove that B, = Î,- 7.1 Prove that TBEC is a cyclic quadrilateral. 7.2 7.3 Prove that ET bisects BTC. 7.4 If it is given that TB is a tangent to the circle through B, F and E, prove that TB = TC. 7.5 Hence, prove that T is the centre of the cirele through A, B and C.
Transcribed Image Text:23:02 N ♥1 1 43% athematicsResource (1).pdf Mathematics Telematics Resources Gr 11 20 February to October 2017 QUESTION 6 In the diagram, PN is a diameter of the circle with centre 0. RT is a tangent to the circle at R. RT produced and PN produced meet at M. OT is perpendicular to NR. NT and OR are drawn. R 6.2 Prove that TO || RP. 6.2 It is further given thaTRN =x. Name TWO aher angles each equal to x 6.3 Prove that NTRO is a cyclic quadrilateral. 6.4 Calculate the size of Min terms of x. 6.5 Show that NT is a tangent to the circle at N. QUESTION 7 In the diagram, the vertices A, B and C of AABC are concyclic. EB and EC are tangents to the circle at B and C respectively. T is a point on AB such that TE || AC. BC cuts TE in F. E Prove that B, = Î,- 7.1 Prove that TBEC is a cyclic quadrilateral. 7.2 7.3 Prove that ET bisects BTC. 7.4 If it is given that TB is a tangent to the circle through B, F and E, prove that TB = TC. 7.5 Hence, prove that T is the centre of the cirele through A, B and C.
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