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Find the coordinates of the centroids of...

Find the coordinates of the centroids of the triangles formed by the following points:(iv)(a+b-c,a-2b),(b+c-a,b-2c),(c+a-b),c-2a)

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Find the coordinates of the mid-points of the line segments which join the following pairs of points:(iv) ((a+b),(a+b)^2),((a-b),(a-b)^2)

Find the coordinate of a point equidistant from the given points A(2, 1), B(1, 2) and C(8, 9).

What is the value of following determinant ? |(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c)|

Find the value of : |(b+c,a,a),(b,c+a,b),(c,c,a+b)|

Find the product of the following. (a^2+b^2+c^2-ab+bc+ca) (a+b-c)

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Using properties of determinant show that : |(a,b+c,a^2),(b,c+a,b^2),(c,a+b,c^2)|=-(a+b+c)(a-b)(b-c)(c-a)

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R G PUBLICATION-CO-ORDINATE GEOMETRY-EXERCISE
  1. Find the coordinates of the centroids of the triangles formed by the f...

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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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