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"For every line L and for every point P not lying on a given line L, there exists a unique line m passing through P and parallel to L" is known as playfair 's axiom.

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Since, it is an equivalent version of Euclid's fifth postulate and it is known as playfair 's axiom.
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NCERT EXEMPLAR-INTRODUCTION TO EUCLID GEOMETRY-Introduction To Euclid Geometry
  1. If a quantity B is a part of another quantity A, then A can be writte...

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  2. State True or False The statements that are proved are called axioms.

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  3. "For every line L and for every point P not lying on a given line L, t...

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  4. Two distinct intersecting lines cannot be parallel to the same line.

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  5. Attempt to prove Euclid 's fifth postulate using the other postulates ...

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  6. Two salesmen make equal sales during the month of August. In September...

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  7. It is known that x+y=10 and that x=z. Show that z+y=10.

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  8. Look at the adjoining figure. Show that length AH gt sum of lengths of...

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  9. In the adjoining figure, if AB = BC and BX =BY, then show that AX=CY

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  10. In the adjoining figure , we have X and Y are the mid - point of A...

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  11. In the adjoining figure , if BX=(1)/(2)AB,BY=(1)/(2)BCand AB=BC, then...

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  12. In the adjoining figure, we have angle1=angle2 and angle 2 =angle3. S...

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  13. In the adjoining figure, we have angle1=angle3 and angle2=angle4. Sho...

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  14. In the ajoining figure , we haveangleABC=angleACBand angle3=angle4. Sh...

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  15. In the adjoining figure , we have AC=DC and CB = CE. Show that AB=DE.

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  16. In the adjoining figure, OX =1/2XY, PX =1/2XZ and OX =PX. Show that XY...

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  17. In the adjoining figure (i) AB=BC, M is the mid -point of A...

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  18. Read the following statements: An equilateral triangle is a polygon ...

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  19. Study the following statements " Two intersecting lines cannot ...

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  20. Read the following statements which are taken as axioms (i) If a t...

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