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Show that the points A(1,2),B(4,3),C(1,0...

Show that the points A(1,2),B(4,3),C(1,0) and D(-2,-1) are the vertices
of a parallelogram.

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Show that points A(1,-5),B(-4,-8),C(-1,-13) and D(4,-10) are the vertices of a rhombus.

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TARGET PUBLICATION-CO-ORDINATE GEOMETRY-ADDITIONAL PROBLEMS FOR PRACTICE
  1. If point (x,y) is equidistant from points (7,1) and (3,5) show that y=...

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  2. Find the realation between x and y , such that the point (x,y) is equi...

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  3. Show that the points A(1,2),B(4,3),C(1,0) and D(-2,-1) are the vertice...

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  4. If P(–2, 4), Q(4, 8), R(10, 5) and S(4, 1) are the vertices of a quadr...

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  5. Show that points (1,7),(4,2),(-1,-1) and (-4,4) are vertices of a suar...

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

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  7. Show that the points P(0,2) Q(3,-1) R(-2,-6) and S(-5,-3) are the ve...

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  8. A(-3,-4), B(-5,0),C(3,0) are the vertices of Delta ABC . Find the co-o...

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  9. If A (2,7) ,B (-6,1) and C (-5,8) are the vertices of a triangle, then...

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  10. In Delta PQR , if P (5,-1) ,Q(-3,3) ,R (-2,6) are the verties, then f...

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  11. If A (3,5) , B (7,9) and Q divides seg AB in the ratio 2:3, then find...

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  12. If C(-2,-6), D (2,10) and Q divides seg CD in the ratio 4:3. Find the...

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  13. If point T divides the segment AB with A (-7,4) and B (-6,-5) in the ...

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  14. If point P(-4,6) divides the line segment AB with A(-6,10) in the r...

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  15. The line segment LM is divided by point B (-7,2) in the ratio 2:1 if...

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  16. A (12,5) ,B (4,-3) and A-P-B . Find the ratio in which point P (9,2) ...

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  17. Find the coordinates of the points of trisection of the line segment j...

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  18. If P is the midpoint of line segment AB withA(-4,2) and B(6,2) then co...

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  19. If A(-14,-10),B(6,-2) is given,find the co-ordinates of the points whi...

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  20. The centroid of Delta PQR is G (2,-4), and P(3,-5) and Q(-1,-6) are it...

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