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If the point P(x,y) is equidistant from ...

If the point P(x,y) is equidistant from the two points A(a,b) and B(b,a),then show that x=y.

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R G PUBLICATION-CO-ORDINATE GEOMETRY-EXERCISE
  1. If the point P(x,y) is equidistant from the two points A(a,b) and B(b,...

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  2. Find the distance between the following pairs of points:(i)(2,3),(4,1)

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  3. Find the distance between the following pairs of points:(ii)(-5,7),(-1...

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  4. Find the distance between the following pairs of points:(iii)(a,b),(-a...

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  5. Find the distance between the points(0,0) and (36,15).

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  6. Determine if the points (1,5),(2,3) and (-2,-11) are collinear.

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  7. Check whether (5,-2),(6,4) and (7,-2) are the vertices of an isosceles...

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  8. In a classroom.4 friends are seated at the points A,B,C and D as shown...

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  9. Name the type of quadrilateral formed,if any,by the following points,a...

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  10. Name the type of quadrilateral formed,if any,by the following points,a...

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  11. Name the type of quadrilateral formed,if any,by the following points,a...

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  12. Find the point on the x-axis which is equidistance from(2,-5) and (-2,...

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  13. Find the value of y for which the distance between the pointsP(2,-3) a...

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  14. If Q(0,1) is equidistant from P(5,-3) and R(x,6).Find the values of x....

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  15. Find a relation between x and y such that the point(x,y) is equidista...

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  16. Find the coordinates of the point which divides the join of (-1,7) and...

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

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  18. Find the ratio in which the line segment joining the points (-3,10) an...

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  19. Find the ratio in which the line segment joining A(1,-5) and B(-4,5) i...

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  20. If (1,2),(4,y),(x,6) and (3,5) are the vertices of a parallelogram tak...

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  21. Find the coordinates of a point A,where AB is the diameter of a circle...

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