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Show that the following sets of points are the vertices of an equilateral triangle :- (3a,5a) , `(3a+sqrt(3a),6a)` and (3a,7a) .

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Show that the following sets of points are the vertices of an equilateral triangle :- (a,a) , (-a ,-a) and (sqrt3a, -sqrt3a) .

Show that the following sets of points are the vertices of an equilateral triangle :- (0,0), (5, 5sqrt3) and (-5,5sqrt3) .

Show that the following sets of points are the vertices of an equilateral triangle :- (1, 1),(- 1,-1) and (-sqrt3,sqrt3) .

Show that the following sets of points are the vertices of right isosceles triangle. :- (3,-1), (5,-1) and (3,-3).

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By use of distance formula, prove that each of the following sets of points are vertices of a right angled triangle. :- (4, 4), (3, 5) and (-1,-1).

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MBD-COORDINATE GEOMETRY-EXERCISE
  1. Show that the following sets of points are the vertices of an equilate...

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  2. Show that the following sets of points are the vertices of an equilate...

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  3. Show that the following sets of points are the vertices of an equilate...

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  4. Show that the points :- A (2, 1), B (5, 4), C (4, 7) and D(1, 4)are t...

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  5. Show that the points :- P (3, 2), Q (0, - 1), R (- 3,- 2) and S (0, 1)...

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  6. Show that the points : A (0,- 2), B (3, 1), C (0, 4) and D (- 3, 1) ar...

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  7. Show that the points : P (1, 2), Q (5, 4), R (3, 8) and S (-1, 6) are...

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  8. Show that the points : D (6, 2), E (2, 1), F (1, 5) and G (5, 6) are ...

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  9. show that the poins :- P (4, 4), Q (2,-3), R (- 5,- 5) and S (- 3, 2)...

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  10. Show that the points : A (7, 3), B (3, 0), C (0, -4) and D (4, - 1) ...

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  11. The vertices of a quadrilateral are points A (- 4, 3), B (0, 0), C (4,...

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  12. Show that the point :- (4, 3), (2, 0) and (- 4,-9) are collinear.

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  13. Show that the point :- (4, 2), (7, 5) and (9, 7) are collinear.

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  14. Find the value of x such that PQ = QR, where P, Q and R are (6,- 1), (...

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

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  16. What points on y-axis is equidistant from the points (- 3, 4) and (7, ...

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  17. Find the points on y-axis which is equidistant from points (5, 2) and ...

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  18. Find the points on x-axis which is equidistant from the points (7, 6) ...

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  19. If ‘a’ is the length of one of the sides of an equilateral triangle AB...

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  20. Find the abscissae of points whose ordinate is 4 and which are at a di...

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