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The base A B of two equilateral trian...

The base `A B` of two equilateral triangles `A B C` and `A B C '` with side `2a` lies along the `X` -axis such that the mid-point of `A B` is at the origin as shown in Fig. 14.4. Find the coordinates of the vertices `C` and `C '` of the triangles. (FIGURE)

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. If P and Q are two points whose coordinates are (a t^2,2a t)a n d(a/(t...

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  2. If the two vertices of an equilateral triangle be (0,0),(3,sqrt(3)), f...

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  3. The base A B of two equilateral triangles A B C and A B C ' with si...

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  4. On which axis do the following points lie? P(5,\ 0) (ii) Q(0,\ -2) ...

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  5. Find the value of x , if the distance between the points (x ,\ -...

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  6. Find the point on the xaxis which is equidistant from (2,"\ "5)"\ "a n...

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  7. Find a point on the y-axis which is equidistant from the point A(6,...

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  8. Do the points A(3,\ 2),\ \ B(-2,\ -3) and C(2,\ 3) form a triang...

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  9. Prove that the points (-3,\ 0),\ (1,\ -3) and (4,\ 1) are the ve...

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  10. If P(2,\ -1),\ \ Q(3,\ 4),\ \ R(-2,\ 3) and S(-3,\ -2) be four poin...

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  11. Find the co-ordinates of the centre of the circle passing through the ...

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  12. If (-4, 0) and (4,0) are two vertices of an equilateral triangle, find...

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  13. Find the distance between the following pair of points: (-6,\ 7) an...

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  14. Find the distance between the following pair of points: (asinalpha,...

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  15. Find the value of a when the distance between the points (3,\ a)...

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  16. If the points (2,\ 1) and (1,\ -2) are equidistant from the poin...

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  17. Find the values of x ,\ y if the distances of the point (x ,\ y)...

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  18. Show that the points (-4,\ -1),\ \ (-2,\ -4),\ \ (4,\ 0) and (2,\ 3...

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  19. Show that the points A(1,\ -2),\ \ B(3,\ 6),\ \ C(5,\ 10) and D(3,\...

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  20. Show that the points (1,"\ "7),"\ "(4,"\ "2),"\ "(1,"\ "1)"\ "a n d"\ ...

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