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Show that (1,-1) , (-2,2) , (4,8) and (7...

Show that `(1,-1) , (-2,2) , (4,8) and (7,5) are the angular points of a rectangle.

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The correct Answer is:
`6 sqrt(2)` units.
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ZEN PUBLICATION-CO-ORDINATE GEOMETRY-ZEN ADDITIONAL QUESTIONS - SHORT ANSWER [SA] TYPE QUESTIONS
  1. Find the ratio in which (-4, 6) divides the line segment joining A (6,...

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  2. Find the points of trisection of the line segment joining the points. ...

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  3. Three vertices of a parallelogram are (a + b ,a - b ) , (2a + b, 2a - ...

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  4. A poin P divides the line segment joining A (3,-5) and B ( - 4, 8) wit...

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  5. If the midpoints of the sides of a triangle are (3, 4) (4, 6), and (5,...

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  6. In what ratio is the join of (-2, 2) and (4,5) cut by the axes of coor...

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  7. The vertices of DeltaABC are A (1, 2), B (4 ,6), and C (6, 14). AD bis...

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  8. Show that (1,-1) , (-2,2) , (4,8) and (7,5) are the angular points of ...

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  9. The line segment joining (3,-4) and (1, 2) is trisected by P(a,-2) and...

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  10. The centroid of a triangle ABC is ( 1, 2, 2) If the coordinates of A a...

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  11. The vertices of a Delta ABC are A (4,6), B (1, 5) and C (7,2). A line ...

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  12. Prove that the median of Delta ABC divides it into two triangles of eq...

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  13. Find the value of a for which the area of the triangle formed by A(a, ...

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  14. If a ne b ne0, prove that points (a, a^(2)), (b, b^(2)), and (0, 0) ca...

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  15. Prove that (a, 0), (0, b), and (1, 1) are collinear if (1)/(a) + (1)/(...

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  16. Find the values of a and b if P (9a-2,-b) divides the line segment A (...

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  17. The centre of a cicle is (2a, a -7). Find the values ofa if the circle...

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  18. For what value of k are (k, 2 2), (-k + 1, 2k), and (4-k, 6-2k) collin...

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  19. The vertices of a Delta ABC are A (-3,2) , B (-1,-4) and C (5,2) . If...

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  20. The vertices of a Delta ABC are A (-5,-1), B (3,-5) , C (5,2). Show t...

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