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Show that the points (1,3),(3,-1),(-5,...

Show that the points
(1,3),(3,-1),(-5,-5) form a right angled triangle.

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Show that the point A(-4, 9, 6), B(-1,6,6), C(0,7,10) form a right angled isosceles triangle.

Show that the points (1,2,3), (2,3,1) and (3,1,2) form an equilateral triangle.

Show that the points (1,2,3),(2,3,1) and (3,1,2) from an equilateral triangle.

Show that the points (2, 3, 5), (-1, 5, -1) and (4, -3, 2) form a right angled isosceles triangle.

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I : The points (-2,3,5 ), (1,,2,3 ),(7,0,-1 ) are collinear. II: The points (2 ,-1,1 ) (1-3-5 ), (3,-4,-4 ) form an equilateral triangle.

I : The points (2, -2), (-1, 2), (3, 5) are the vertices of a right angled isoceles triangle. II : The points (2, -4), (4, -2), (7, 1) form an isosceles triangle.

AAKASH SERIES-2D-COORDINATE SYSTEM-EXERCISE -1.1 (VERY SHORT ANSWER QUESTIONS)
  1. Find the value of 'a' if the distance between the points (a,2), (3,4) ...

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  2. Find the point on the x-axis, which is equidistant from (7,6) and (-3,...

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  3. Find the retation between x and y, If the point (x,y) is to be equidis...

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  4. Show that the points (2,4),(2,6)(2+sqrt3,5) form an equilateral tria...

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  5. Show that the points (1,3),(3,-1),(-5,-5) form a right angled triang...

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  6. Show that the points (-2,5),(3,-4),(7,10) form a right angled isosce...

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  7. Show that the points (taken in order) (-3,1),(-6,-7),(3,-9),(6,-1) f...

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  8. Show that the points (taken in order) (8,4),(5,7),(-1,1),(2,-2) form...

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  9. Show that the points (taken in order) (3,-2),(7,6),(-1,2),(-5,-6) fo...

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  10. find the area of the triangle formed by the points (1,2),(3,-4) and ...

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  11. find the area of the triangle formed by the points (9,-7),(2,4) and ...

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  12. Find the value of x, if the area of the triangle formed by the points ...

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  13. Find the value of k, if the area of the triangle formed by the points ...

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  14. Show that the following points are collinear. (0,-2), (-1,1), (-2,4)

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  15. Show that the following points are collinear. (-1,7) ,(3,-5), (4,-8)

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  16. Show that the following points are collinear. (0,8/3),(1,3),(82,30)

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  17. Find the value of x for which the points (x, -1) (2,1) and (4, 5) are...

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  18. If (k, 2-2k), (-k+1, 2k), (-4-k,6-2k), are collinear, then k =

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  19. Find the condition for are point (a,0), (h,k), (o,b) where ab ne0 tobe...

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  20. Let the point P lies in the interior of an equilateral triangle with s...

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