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Prove that (2a, 4a), (2a, 6a), and (2a +...

Prove that (2a, 4a), (2a, 6a), and (2a +`sqrt(3a)`, 5a) are the vertices of an equilateral triangle.

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ZEN PUBLICATION-CO-ORDINATE GEOMETRY-ZEN ADDITIONAL QUESTIONS - SHORT ANSWER [SA] TYPE QUESTIONS
  1. If P (x, y) lies on a circle whose centre is (3,-2) and radius is 3, s...

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  2. The centre of a cicle is (2a, a -7). Find the values ofa if the circle...

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  3. Prove that (2a, 4a), (2a, 6a), and (2a +sqrt(3a), 5a) are the vertices...

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  4. Find the area of a triangle whose vertices are (1,-1),(-4,6) and (-3,-...

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  5. Prove that the area of the triangle whose vertices are (t,t -2), (t + ...

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  6. Find the area of the quadrilateral ABCD whose vertices are A(1, 1), B(...

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  7. Show That (3, -2) is the 3rd verlex of a Delta ABC where A (2. 3), B (...

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  8. Find the area of a parallelogram ABCD if three of its vertices are A(2...

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  9. Find the co - ordinates of points which divides the line segment joini...

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  10. Find the distance between the points (2,3) and (4,1 ) .

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  11. Find the coordinates of the point which divides the line joining the p...

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  12. The points A(1,1),B(3,2) and C(5,3) cannot be the vertices of the tria...

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  13. If A(-2, -1) B(a, 0) C(4, b) and D(1 , 2) are the vertices of a paral...

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  14. IfA(-5, 7), B (4, 5), C(-1,-6) and D (4,5) are the vertices of a quadr...

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  15. If the points A (k +1, 2k), B (3k, 2k + 3) and C (5k-1, 5k) are collin...

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  16. If the point P (x, y) is equidistant from the points A (a + b, b - a) ...

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  17. A (0,6), P (4,-3), and the origin O form a Delta OPA. DeltaOPA is turn...

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  18. Find a and b if M (9a -2, -b) divides the line segment joining P (3a +...

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  19. Find the ratio in which (-4, 6) divides the line segment joining A (6,...

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  20. Find the points of trisection of the line segment joining the points. ...

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