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Find the coordinates of the third vertex...

Find the coordinates of the third vertex of an equilateral triangle, whose two vertices are (3, 4) and (-2, 3).

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The correct Answer is:
`((1+sqrt(3))/(2),(7-5sqrt(3))/(2)), ((1-sqrt(3))/(2), (7+5sqrt(3))/(2))`
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VK GLOBAL PUBLICATION-COORDINATE GEOMETRY -PROFICIENCY EXERCISE ( Long Answer Questions )
  1. If the points A (1,2), B (2,3) , C *a,2) and D (-4-,3) form a parallel...

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  2. A(6, 1), B(8, 2) and C(9, 4) are the vertices of a parallelogram ABCD....

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  3. Find the area of the triangle formed by joining the mid-points of the ...

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  4. The mid-points D, E, F of the sides of a triangle ABC are (3, 4), (8, ...

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  5. Find the coordinates of the third vertex of an equilateral triangle, w...

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  6. Show that the points (a , a),(-a ,-a) and (-sqrt(3)a ,sqrt(3)a) are th...

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  7. If A(3, 4) and C (1, -1) are two opposite angular points of square ABC...

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  8. The points A (x(1),y(1)), B (x(2),y(2)) and C (x(3),y(3)) are the vert...

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  9. The points A (x(1),y(1)), B (x(2),y(2)) and C (x(3),y(3)) are the vert...

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  10. The points A (x(1),y(1)), B (x(2),y(2)) and C (x(3),y(3)) are the vert...

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  11. The points A(x(1) ,y(1) ), B(x(2) ,y(2)) and C(x(3) ,y(3)) are the ver...

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  12. If A(-3,5),B(-2,-7),C(1,-8)a n dD(6,3) are the vertices of a quadrilat...

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  13. If A(4,-6),B(3,-2)and C(5,2) are the vertices of a DeltaABC and AD is ...

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  14. The midpoint P of the line segment joining the points A(-10, 4) and B(...

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  15. lf A(-4, 8), B(-3,-4), C(0,-5) and D(5, 6) are the vertices of a quadr...

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  16. Find the values of k so that the area of the triangle with vertices (1...

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  17. The base QR of an equilateral triangle PQR lies on x-axis. The coordin...

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  18. Find the area of quadrilateral ABCD, the co-ordinates of whose vertice...

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