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Prove that the points (2a, 4a), (2a, 6a...

Prove that the points `(2a, 4a), (2a, 6a) and (2a+sqrt3a , 5a)` are the vertices of an equilaterall triangle whose side is 2a

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

Prove that the points (2a,4a),(2a,6a) and (2a+sqrt(3)a,5a) are the vertices of an equilaterall triangle whose side is 2a

Prove that the points A(2, 4), B(2, 6) and C(2 + sqrt(3) , 5) are the vertices of an equilateral triangle.

Show that the points A(1, 1), B(-1, -1) and C(-sqrt3, sqrt3) are the vertices of an equilateral triangle each of whose sides is 2sqrt2 units.

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Prove that the points (5, -2), (-4, 3) and (10, 7) are the vertices of an isosceles right-angled triangle.

Prove that the points (-1, -2), (-2, -5), (-4, -6) and (-3, -3) are the vertices of a parallelogram.

The triangle formed by the points A (2a, 4a), B(2a, 6a) and C (2a +sqrt3a, 5a) is

RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a...

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  2. Prove that (2,\ -2),\ (-2,\ 1) and (5,\ 2) are the vertices of a ri...

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  3. Prove that the points (2a, 4a), (2a, 6a) and (2a+sqrt3a , 5a) are the...

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

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  5. If P(2,-1), Q (3,4), R(-2,3) and S (-3,-2) are four points in a plane,...

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  6. Two vertices of an isosceles triangle are (2,\ 0) and (2,\ 5) . Fin...

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  7. Which point on x-axis is equidistant from (5, 9) and (-4, 6)

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  8. Prove that the points (-2,\ 5),\ (0,\ 1) and (2,\ -3) are collin...

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  9. The coordinates of the point P are (-3,\ 2) . Find the coordinat...

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  10. Which point on y-axis is equidistant from (2,\ 3) and (-4,\ 1) ?

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  11. The three vertices of a parallelogram are (3,\ 4),\ (3,\ 8) and (9,...

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  12. Find the circumcentre of the triangle whose vertices are (-2,\ -3),...

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  13. Find the centre of the circle passing through (5,\ -8),\ (2,\ -9) a...

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  14. Find the value of k , if the point P(0,\ 2) is equidistant fr...

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  15. Find the coordinates of the circumcentre of the triangle whose vert...

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  16. Find a point on the x-axis which is equidistant from the points (7,...

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  17. Show that the points A(5,\ 6),\ \ B(1,\ 5),\ \ C(2,\ 1) and D(6,\ 2...

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  18. Prove that the points A(2,\ 3),\ \ B(-2,\ 2),\ \ C(-1,\ -2), and D(...

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  19. Find the point on x-axis which is equidistant from the points (-2,\...

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  20. Find the value of x such that P Q=Q R where the coordinates of P...

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