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The points A, B, C and D lie on the circle shown in the figure such that AB = BC and DC // AB. The tangent drawn to the circle at A is AL.

The points A, B, C and D lie on the circle shown in the figure such that AB = BC and DC // AB. The tangent drawn to the circle at A is AL.

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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The points A, B, C and D lie on the circle shown in the figure such that AB = BC and DC // AB. The tangent drawn to the circle at A is AL.
An incomplete Venn diagram drawn to represent the on whether they play the piano, tabla or flute is shown below. Of the 55 who play the piano from these musicians, 15 also play the flute. t@ musicians who play the tabla musicians who play the piano (i) Copy the incomplete Venn diagram given in the figure onto your answer script and inclue the above given information in it. (ii) If 60 musicians play exactly two of these instruments, how many musicians play bc the tabla and the flute but not the piano? (iii) The number of musicians who play only the tabla from these three instruments is equ to the number of musicians who play the flute and the tabla. How many musicians pl only the tabla? (iv) The number of musicians who play the flute is exactly half the number of musicia that play the tabla. How many musicians do not play any one of these three instrumer 12. (a) The points A, B, C and D lie on the circle shown in the figure such that AB = BC and DC | AB. The tangent drawn to the circle at A is AL. (i) Copy the figure onto your answer script and include the above information in it. Join DB and AC. musicians who play the flute (ii) If LAB = 35°, find the magnitude of BAC and show that DB || AL. D *** C (b) The points P, Q, R and S lie on a circle. If PR and QS are diameters of the c what type of quadrilateral is PQRS? Give reasons for your answer. PAST PAPERS WIKI B
Transcribed Image Text:An incomplete Venn diagram drawn to represent the on whether they play the piano, tabla or flute is shown below. Of the 55 who play the piano from these musicians, 15 also play the flute. t@ musicians who play the tabla musicians who play the piano (i) Copy the incomplete Venn diagram given in the figure onto your answer script and inclue the above given information in it. (ii) If 60 musicians play exactly two of these instruments, how many musicians play bc the tabla and the flute but not the piano? (iii) The number of musicians who play only the tabla from these three instruments is equ to the number of musicians who play the flute and the tabla. How many musicians pl only the tabla? (iv) The number of musicians who play the flute is exactly half the number of musicia that play the tabla. How many musicians do not play any one of these three instrumer 12. (a) The points A, B, C and D lie on the circle shown in the figure such that AB = BC and DC | AB. The tangent drawn to the circle at A is AL. (i) Copy the figure onto your answer script and include the above information in it. Join DB and AC. musicians who play the flute (ii) If LAB = 35°, find the magnitude of BAC and show that DB || AL. D *** C (b) The points P, Q, R and S lie on a circle. If PR and QS are diameters of the c what type of quadrilateral is PQRS? Give reasons for your answer. PAST PAPERS WIKI B
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