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If P(–2, 4), Q(4, 8), R(10, 5) and S(4, ...

If `P(–2, 4), Q(4, 8), R(10, 5) and S(4, 1)` are the vertices of a quadrilateral, show that it is a parallelogram.

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TARGET PUBLICATION-CO-ORDINATE GEOMETRY-ADDITIONAL PROBLEMS FOR PRACTICE
  1. Find the realation between x and y , such that the point(x,y) is equid...

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

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

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

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

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

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  7. A(-3,-4), B(-5,0),C(3,0) are the veties of Delta ABC . Fin the co-ordi...

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

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

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  10. Find the centre and radius of the circle passing through the points P ...

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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 r...

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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 coordinates of the points whi...

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  20. In DeltaABC , the co-ordinates of vertices A,B and C are (4,7) ,(-2,3)...

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