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If A(-2, -1) B(a, 0) C(4, b) and D(1 , 2...

If A(-2, -1) B(a, 0) C(4, b) and D(1 , 2) are the vertices of a parallelogram. Find a and b

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The correct Answer is:
`sqrt(52)`
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ZEN PUBLICATION-CO-ORDINATE GEOMETRY-ZEN ADDITIONAL QUESTIONS - SHORT ANSWER [SA] TYPE QUESTIONS
  1. Find the coordinates of the point which divides the line joining the p...

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  2. The points A(1,1),B(3,2) and C(5,3) cannot be the vertices of the tria...

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  3. If A(-2, -1) B(a, 0) C(4, b) and D(1 , 2) are the vertices of a paral...

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  4. IfA(-5, 7), B (4, 5), C(-1,-6) and D (4,5) are the vertices of a quadr...

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  5. If the points A (k +1, 2k), B (3k, 2k + 3) and C (5k-1, 5k) are collin...

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  6. If the point P (x, y) is equidistant from the points A (a + b, b - a) ...

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  7. A (0,6), P (4,-3), and the origin O form a Delta OPA. DeltaOPA is turn...

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  8. Find a and b if M (9a -2, -b) divides the line segment joining P (3a +...

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  9. Find the ratio in which (-4, 6) divides the line segment joining A (6,...

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

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

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

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

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

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

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

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

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

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

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

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