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The Main Menu اPrevious اPrevious Next Represent a point A. Given that: 1) A is at equal distances from and 2) The distance of A from the origin 0 is.

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Presentation on theme: "The Main Menu اPrevious اPrevious Next Represent a point A. Given that: 1) A is at equal distances from and 2) The distance of A from the origin 0 is."— Presentation transcript:

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2 The Main Menu اPrevious اPrevious Next Represent a point A. Given that: 1) A is at equal distances from and 2) The distance of A from the origin 0 is 8 cms 3) The point A is above and behind,. 4) The point A lies on the left hand side of at a distance 6 cms π 1 π 12 π π 2

3 8 L M A 1 =A 2 A3A3 // The Main Menu اPrevious اPrevious Next // K X = - 6 = AA x 12 z y O, Y is -ve, and Z is +ve y is -ve A 1 = A 2 A A

4 // + y y y y A A A A A A y y x x x 12 o oo zz z

5 O // O O x x x 12 z z z

6 The Main Menu اPrevious اPrevious Next m1m1 m3m3 m2m2 x 12 o y z

7 o o o z x x x 12 z z

8 ..

9 The Main Menu اPrevious اPrevious Next 1 H

10 3 m 3 m m1m1 m2m2 H2H2 H=H1H1 V1V1 V=V2V2 S1S1 S= S3S3 S2S2 H 1 2 3 V 3

11 The Main Menu اPrevious اPrevious Next o m1m1 m3m3 m2m2 x 12 y z H2H2 H3H3 V2V2 V3V3 S1S1 S2S2 S3S3 V 1 =V

12 m m m S S S H H H LOCUS OF A 1 1 1 2 2 2 3 3 3 3 A A A 3 1 2 R= 4

13 m m m 1 2 2 3 3 3 x 12 V V HH 1 1 2 S S 45

14 . H.

15 A B A B B A B A B A B A x z y O 1 3 3 T.L A 2 B z z B B B A A A y y x x π π π 2 1 3 z A A A z B B B y y x x 2 α β α β 1

16 A3A3 A1A1 A2A2 B1B1 B3B3 B2B2 m1m1 m3m3 m2m2 x 12 o y z yByB yAyA T.L[A] [B] yAyA yByB zBzB zAzA T.L [A] [B] zAzA zBzB xAxA xBxB xAxA xBxB [A] [B] T. L β α

17 The Main Menu اPrevious اPrevious Next B1B1 A3A3 A1A1 A2A2 B3B3 B2B2 m1m1 m3m3 m2m2 [B] [A] [B] T.L

18 The Main Menu اPrevious اPrevious Next There are three right angled triangles which are frequently used in solving problems in PROJECTION ; T. L Horizontal projection T. L Side projection Vertical projection

19 B1B1 A2A2 A1A1 B2B2

20 T. L of AB 1 Locus of c 1 x 12 A2A2 B2B2 0 B1B1 A1A1 T. L of BC T. L of AC Vertical projection. of AC Vertical projection. of BC.. C2C2 C1C1 / / // T. L of AC A C 2 / T. L of BC B C 2 2 //


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