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Prove that the points (0,0),(0,10),(8,1...

Prove that the points (0,0),(0,10),(8,16)and (8,6)are the vertices of a rhombus , find the area of the rhombus. Show also that the diogonal of the rhombus intersect at right angle

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CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 ( Short Type Questions )
  1. Show that the points (-2,-1),(5,4),((6,7) and (-1,2) are the vertices...

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  2. Prove that the four points (4,3),(6,4),(5,6) and (3,5) are the vertice...

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  3. Prove that the points (0,0),(0,10),(8,16)and (8,6)are the vertices of...

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  4. If the point (0,4) divides the line-segment joining the points (-4,10)...

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  5. The straight line joining the points (2, -2)and (4, 6) extended each w...

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  6. The coordinates of the vertex A of Delta ABC are (2,5), if the centroi...

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  7. The area of the trianglr formed by joining the points (2,7), (5,1) and...

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  8. Prove that the points (-4,-5) ,(9,8)and the mid-point of the line-seg...

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  9. Find the value of m for which the area of the triangle having vertice...

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  10. The vertices A,B and C of DeltaABC have coordinates (-3,-2),(2,-2) an...

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  11. Prove that the points (p,p^(2)),(q,q^(2))and(r,r^(2))(pner) can never ...

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  12. Find the area of the vertices A,B,C and D of the quadrilateral whose v...

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  13. The coordinates of the vertices A,B,C and D of the quadrilateral ABCD ...

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  14. What does the equation 3x^(2)+2xy+3y^(2)-18x-22y+50=0 become if the ax...

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  15. Find the point to which the origin should be shifted after a translat...

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  16. Verify that the area of the triangle with vertices (6,2), (-3,4) and ...

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  17. The distance of a point P from the striaght line x=-4 is equal to its...

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  18. A point P(x,y) moves in the xy - plane in such a way that its distance...

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  19. A point moves in a plane such that its distance from the point (2,3) e...

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  20. Find the locus of a point which moves so that the sum of the squares o...

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