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Show that A(4,-1), B(6,0), C(7,-2) and D...

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

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The correct Answer is:
`therefore square` ABCD is square.
[A rhombus is a square if its diagonals are equal ]
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TARGET PUBLICATION-CO-ORDINATE GEOMETRY-PROBLEM SET -5
  1. Find a point on X-axis which is equidisant from P(2,-5) and Q(-2,9).

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

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

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

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

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

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

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

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

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

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

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

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

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

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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 center 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(1,7...

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