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If A(6,1) ,B(8,2) ,C(9,4) and D (7,3) ar...

If A(6,1) ,B(8,2) ,C(9,4) and D (7,3) are the vertices of `square` ABCD ,
show that `square` ABCD is a parallelogram.

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TARGET PUBLICATION-CO-ORDINATE GEOMETRY-ADDITIONAL PROBLEMS FOR PRACTICE
  1. A(-3,-4), B(-5,0),C(3,0) are the vertices of Delta ABC . Find the co-o...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. If slope of the line joining points P(k,0) and Q(-3,-2) is 2/7 , then ...

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  15. Show that points P (-2,3) ,Q(1,2) ,R(4,1) are collinear.

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  16. Show that points P (3,1) ,Q(-1,9) ,and R(4,-1) are collinear.

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  17. Find the value of k, if the points A(-1,1) B(5,7) and C(8,k) are colli...

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  18. Find the value of k, so that line joining the points A (3,k) and B(2,7...

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  19. Show that square ABCD is a parallelogram if A (4,8) ,B(5,5), C(2,4) ,D...

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  20. If A(6,1) ,B(8,2) ,C(9,4) and D (7,3) are the vertices of square ABCD ...

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