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An equilateral triangle has two vertices...

An equilateral triangle has two vertices at the points `(3, 4)` and `(-2, 3)`, find the coordinates of the third vertex.

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The correct Answer is:
`((1+sqrt(3))/(2),(7-5sqrt(3))/(2))` or `((1-sqrt(3))/(2), (7+5sqrt(3))/(2))`
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ARIHANT MATHS ENGLISH-COORDINATE SYSTEM AND COORDINATES -Exercise For Session 2
  1. If the distance between the points (a, 2) and (3, 4) be 8, then a equa...

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  2. The three points (-2, 2), (8, -2) and (-4, -3) are the vertices of

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  3. The distance between the points (3,pi/4) and (7,(5pi)/4)

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  4. Let A(6, -1), B (1, 3) and C (x, 8) be three points such that AB = BC ...

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  5. The points (a+1,1), (2a+1,3) and (2a+2,2a) are collinear if

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  6. Let A=(3,4) and B is a variable point on the lines |x| =6. IF A Blt...

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  7. The number of points on X-axis which are at a distance c units (c lt 3...

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  8. The point on the axis of y which its equidistant from (-1, 2) and (3, ...

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  9. Find the distance between the points (at(1)^(2), 2 at(1)) and (at(2)^(...

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  10. If P and Q are two points whose coordinates are (a t^2,2a t)a n d(a/(t...

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  11. Show that the points (3, 4), (8, -6) and (13, 9) are the vertices of a...

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  12. Show that four points (0,-1),(6,7),(-2,3)a n d(8,3) are the vertices o...

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  13. Find the circumcentre and circumradius of the triangle whose vertices ...

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  14. The vertices of a triangle are A(1,1),\ B(4,5)a n d\ C(6, 13)dot Find ...

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  15. The opposite vertices of a square are (2, 6) and (0, -2). Find the coo...

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  16. If the point (x , y) is equidistant from the points (ab , b-a) and (a-...

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  17. if a and bbetween 0 and 1 such that the points (a, 1). (1, b) and (0, ...

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  18. An equilateral triangle has two vertices at the points (3, 4) and (-2,...

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  19. If P be any point in the plane of square ABCD, prove that PA^(2)+PC^...

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