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Prove that the point (-2,-1),(1,0),(4,3)...

Prove that the point `(-2,-1),(1,0),(4,3)a n d(1,2)` are the vertices of parallel-gram. Is it a rectangle?

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Prove that the point (-2,-1),(1,0),(4,3)a n d(1,2) are the vertices of...

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  2. The three vertices of a parallelogram taken in order are -1,0),(3,1)a ...

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  3. If the point C(-1,2) divides internally the line segment joining A(2,5...

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  4. Determine the ratio in which the line 3x + y - 9 = 0 divides the se...

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  5. The coordinates of one end point of a diameter of a circle are (4,-1) ...

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  6. If A(5,-1),B(-3,-2)a n d(-1,8) are the vertices of triangle ABC, find ...

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  7. Of A(-2,-1),B(a ,0),C(4, b) and D(1,2) are the vertices of a parallelo...

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  8. if the coordinates of the mid points of the Sides of a triangle are (...

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  9. Prove analytically that the line segment joining the middle points of ...

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  10. Prove that the lines joining the middle points of the opposite sides o...

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  11. The vertices of a A B C are A(5,5),B(1,5)a n dC(9,1) . A line is draw...

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  12. If the coordinates of the mid-points of the sides of a triangle are (3...

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  13. A(3,2)a n dB(-2,1) are two vertices of a triangle ABC whose centroid G...

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  14. If the coordinates of the mid-points of the sides of a triangle are (1...

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  15. Prove that the area of triangle whose vertices are (t , t-2),(t+2, t+2...

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  16. For what value of k are the points (k ,2-2k)(-k+1,2k)a n d(-4-k ,6-2k)...

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  17. Prove that the coordinates of the centre of the circle inscribed in th...

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  18. If the points P ,Q(x ,7),R ,S(6, y) in this order divide the line segm...

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  19. If A(2,2),B(-4,-4)a n dC(5,-8) are the vertices of a triangle, then th...

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  20. The midpoint P of the line segment joining the points A(-10, 4) and B(...

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