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

Show that the points P(2,1), Q(-1,3) , R (-5,-3) and
S (-2,-5) are the vertices of a square .

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The correct Answer is:
`therefore square` PQRS is a rectangle.
[A parallelogram is a rectangle if its diagonals are equal ]
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TARGET PUBLICATION-CO-ORDINATE GEOMETRY-PROBLEM SET -5
  1. Find the distance between the following pairs of poins. P(-6,-3), Q(...

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  2. Find the distance between the following pairs of poins. R(-3a, a), S...

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  3. Find the co-ordinates of the circumcentre of a triangle whose vertices...

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  4. In the following examples, can the segment joining the given points fo...

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  5. In the following examples , can the segment joining the given points f...

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  6. In the following examples , can the segment joining the given points f...

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

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

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

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

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  11. Find the lengths of the medians of a triangle whose vertices are A(-1,...

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  12. Find the co-ordinates of centroid of the triangles if points D(-7,6), ...

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  13. Show that points A (4,-1)B (6,0) C (7,-2) and D (5,-3) are the veties ...

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  14. Find the co-ordinates of circumcentre and radius of circumcircle of tr...

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  15. Given A(4,-3), B(8,5). Find the co-ordinates of the point that divides...

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  16. Find the type of the quadrilateral, if point A(-4,-2),B(-3,-7),C(3,-2)...

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  17. The line segment AB is divided into five congruent parts at P ,Q ,R a...

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  18. Find the co-ordinates of the centre of the circle passing through the ...

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  19. Find the possible pairs of co-ordinates of the fourth vertex D of the ...

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  20. Find the slope of the diagonals of a quadrilateral with vertices A(1, ...

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