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if `a` and `b`between `0` and `1` such that the points `(a, 1). (1, b)` and `(0, O)` from If 'a' and 'b' are real numbers an equilateral triangle then the values of 'a' and 'b' respectively

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The correct Answer is:
`a = b = 2-sqrt(3)`
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ARIHANT MATHS-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. Prove that the points (0, -1), (6, 7), (-2, 3) and (8, 3) are the vert...

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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 one vertex at (3, 4) and another at (-2, 3...

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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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