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Prove analytically that the line segment...

Prove analytically that the line segment joining the middle points of two sides of a triangle is equal to half of the third side.

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Of A(-2,-1),B(a ,0),C(4, b) and D(1,2) are the vertices of a parallelo...

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

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

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

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

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

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

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

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  10. 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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  11. Prove that the coordinates of the centre of the circle inscribed in th...

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

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

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

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  15. If R(x , y) is a point on the line segment joining the points P(a , b)...

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  16. If the points A(-1,-4),B(b , c)a n dC(5,-1) are collinear and 2b+c=4,...

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  17. The perimeter of a triangle with vertices (0,4)a n d(0,0)a n d(3,0) is...

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  18. A point P divides the line segment joining the points A(3,-5)a n dB(-4...

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  19. If G be the centroid of a triangle ABC, prove that, AB^2 + BC^2 + CA...

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  20. If A(-3,5),B(-2,-7),C(1,-8)a n dD(6,3) are the vertices of a quadrilat...

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