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Show that the following points form an e...

Show that the following points form an equilateral triangle A( a , 0) ,
` (AS^(2))`
B ( -a,0) , `C( 0 , asqrt(3))` .

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The correct Answer is:
`:. Delta ABC ` is an equilateral triangle .
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VGS PUBLICATION-BRILLIANT-COORDINATE GEOMETRY -Exercise 7 . 1
  1. Find the distance between the following pair of points . ( 2 , 3) ...

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  2. Find the distance between the following pair of points. ( - 5 , 7) ...

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  3. Find the distance between the following pair of points . ( - 2 , -...

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  4. Find the distance between the following pair of points . ( a , b) ...

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  5. Find the distance between the points ( 0, 0) and ( 36, 15) . (AS(...

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  6. Verify that the points ( 1 , 5) , (2 , 3) and ( - 2 , -1) are collinea...

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  7. Check whether ( 5 , -2) , ( 6 , 4) and ( 7 , -2) are the vertices of a...

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  8. In a classroom, 4 friends are seated at the points A,B,C and D as show...

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  9. Show that the following points form an equilateral triangle A( a , 0) ...

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  10. Prove that the points ( - 7 , - 3) , ( 5 , 10) , ( 15 , 8) and ( 3 , -...

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  11. Show that the points ( - 4 , -7) , ( - 1 , 2) , ( 8 , 5) and ( 5 , -4)...

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  12. Name the type to quadrilateral formed, if any , by the following point...

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  13. Name the type to quadrilateral formed, if any , by the following point...

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  14. Name the type of quadrilateral formed, if any, by the points, and give...

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  15. Find the point on the X - axis which is equidistant from ( 2 , -5) a...

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  16. If the distance between two points ( x , 7) and ( 1 , 15) is 10, find...

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  17. Find the value of y for which the distance between the points P( 2 , ...

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  18. Find the radius of the circle whose centre is ( 3 , 2) and passes thr...

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  19. Can you draw a triangle with vertices ( 1 , 5) , ( 5 , 8) and ( 13 , ...

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  20. Find a relation between x and y such that the point ( x , y) is equi-d...

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