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Show that the points P(0,2) Q(3,-1) R(-...

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

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Show that points P(2,-2), Q(7,3), R(11,-1) and S(6,-6) are the vertices of a parallelogram.

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

Show that the points (2,4),(2,6) and (2+sqrt 3,5) are the vertices of an equilateral triangle.

Show that the points A(1,2), B(1,6) and C(1+ 2 sqrt 3 ,4) are the vertices of an equilateral triangle.

Show that P(3,4),Q(7,-2),R(1,1) and S(-3,7) are the vertices of a parallelogram.

Verify that points P(-2,2),Q(2,2) and R(2,7) are vertices of a right angled triangle.

Show that point P(-3,2) Q(1, -2) and R(9, -10) are collinear

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TARGET PUBLICATION-CO-ORDINATE GEOMETRY-ADDITIONAL PROBLEMS FOR PRACTICE
  1. Show that points (1,7),(4,2),(-1,-1) and (-4,4) are vertices of a suar...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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