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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:
`square PQRS` is a rectangle
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CHETAN PUBLICATION-CO-ORDINATE GEOMETRY -PROBLEM SET - 5
  1. Find a point on X-axis which is equidistant from P(2,-5) and Q(-2, 9).

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  2. Do the points joining L(6,4), M(-5,-3) and N(-6,8) from a triangle ...

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

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

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

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  6. Given A(4,-3) ,B (8,5) . Find the coordinates of the point that div...

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  7. Find the coordintes of the midpoint of the segment joining P(0,6) ...

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  8. Find the lengths of the medians of triangle whose vertices are A (-1...

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

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

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

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

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

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

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

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

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

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

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  19. If the points A(-4, -2) , B (-3,-7) , C(3,-2) and D(2,3) are joine...

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

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