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If D,E,F are the middle points of sides ...

If D,E,F are the middle points of sides BC,CA,AB respectively of a triangle whose vertices are A(-1,5) ,B(3,1) ,C(5,7). show that, `Delta ABC` =4`Delta DEF`

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KALYANI PUBLICATION-Co-ordinator Geometry-Exercise
  1. If the points (8,1),(3,-4),(2,p) are collinear, prove that p+5=0

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  2. If the points (p,0), (0,q)and (x,y) are collinear, prove that x/p+y/q=...

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  3. If D,E,F are the middle points of sides BC,CA,AB respectively of a tri...

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  4. The vertices of Delta ABC areA(2,3),B(4,-1)and C(1,2),Find the length...

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  5. The co-ordinates of A,B,C,D are A(6,3),B(-3,5),C(4,-2)and D(x,3x) resp...

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  6. Write the distance between (0,0) and (3,4).

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  7. Find the distance between following pair of points: (a cos theta, a si...

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  8. Write the mid-point of (a,0),(-a,-b)

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  9. If the points (a,0), (0,b) and (1,1) are collinear,then find the value...

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  10. The mid-point of the line joining the points (-6,5)and (-2,3) is-(a/3 ...

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  11. Fill in the blank The co-ordinates of any point on x-axis are in the f...

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  12. Fill in the blank The co-ordinates of any point on y-axis are in the f...

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  13. Fill in the blank The distance of the point (a,b) from the origin is.

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  14. What is the co-ordinate of origin?

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  15. Fill in the blank If three points are collinear,the area of the triang...

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  16. If three consecutive vertices of a parallelogram ABCD are A(1,-2),B(3,...

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  17. The distance of the point (-a,b)from origin is,

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  18. The points (0,0),(-2,0),(3,0)

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  19. In what ratio does the point P(1,2) divides the joint of A(-2,1),and B...

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  20. In what ratio the x-axis divides the joints of P(-4,2)and Q(8,3)

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