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Show that the points (3,-2),(1,0),(-1,-...

Show that the points ` (3,-2),(1,0),(-1,-2)` and ` (1,-4)` are concyclic.

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A, B, C
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BAL BHARTI-CO-ORDINATE GEOMETRY-Problem set 5
  1. Show that the points (3,-2),(1,0),(-1,-2) and (1,-4) are concyclic.

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  2. Determine whether the given points are collinear.(i) A(0,2),B(1,-0.5),...

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  3. Determine whether the given points are collinear.(ii) P(1,2),Q(2,8/5),...

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  4. Determine whether the given points are collinear.(iii) L(1,2),M(5,3),N...

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  5. Find the coordinates of the midpoint of the line segment joining P(0,6...

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  6. Find the ratio in which the line segment joining the points A(3,8) and...

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  7. Find a point on X-axis which is equidisant from P(2,-5) and Q(-2,9).

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  8. Find the distance between the following pairs of points (i)A(a,0),B(0,...

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  9. Find the distance between the following pairs of points (ii)P(-6,-3),Q...

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  10. Find the distance between the following pairs of points (iii)R(-3a,a),...

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  11. Find the coordinates of circumcentre of a triangle whose vertices are ...

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  12. In the following example, can the segment joining the given points for...

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  13. In the following examples,can the segment joining the given points for...

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  14. In the following example, can the segment joining the given points for...

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  15. Find k, if the line passing through points P(-12,-3) and Q(4,k) has sl...

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  16. Show that the line joining the points A(4,8) and B(5,5) is parallel to...

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  17. Show that the points P(1,-2), Q(5,2), R(3,-1), S(-1,-5) are the vertic...

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  18. Show that the square PQRS formed by P(2,1),Q(-1,3),R(-5,-3),S(-2,-5) i...

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  19. Find the equations of the sides of a triangle whose vertices areA(-1,8...

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  20. Find the coordinates of centroid of a triangle whose vertices are (3, ...

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  21. Show that A(4,-1), B(6,0), C(7,-2) and D(5,-3) are vertices of a squar...

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