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Show that four points (1, -2), (3, 6), (...

Show that four points (1, -2), (3, 6), (5, 10) and (3, 2) are the vertices of a parallelogram.

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Show that the points A(3, 1), B(0, -2), C(1, 1) and D(4, 4) are the vertices of a parallelogram ABCD.

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VK GLOBAL PUBLICATION-COORDINATE GEOMETRY -PROFICIENCY EXERCISE ( Short Answer Questions-I )
  1. Find the point on x-axis which is equidistant from the points (-2,\...

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  2. Find the coordinates of the point Q on the X- axis which lies on the ...

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  3. Show that four points (1, -2), (3, 6), (5, 10) and (3, 2) are the vert...

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  4. Name the type of triangle formed by the points A (-5,6) , B (-4,-2) an...

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  5. In the following examples , can the segment joining the given points f...

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  6. Do the points A(3,\ 2),\ \ B(-2,\ -3) and C(2,\ 3) form a triang...

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  7. The line segment joining the points (3, -4) and (1, 2) is trisected at...

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  8. If the point P(m ,\ 3) lies on the line segment joining the poin...

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  9. Point P divides the line segment joining the points A(-1,3) and B(9,...

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  10. Point A lies on the line segment PQ joining P(6, -6) and Q(-4, -1) in ...

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

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  12. Find the ratio in which the line x + 3y -14 = 0 divides the line segme...

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  13. If the points (p ,\ q),\ (m ,\ n) and (p-m ,\ q-n) are collinear...

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  14. Prove that the points (a, b + c), (b, c + a) and (c, a + b) are collin...

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  15. If the mid-point of the line segment joining the points A (3, 4) and B...

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  16. If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallel...

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  17. If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in...

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  18. In what ratio does the x-axis divide the line segment joining the poin...

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  19. Find the area of the triangle whose vertices are (- 4, 8), (6, - 6) an...

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  20. If D (-(1)/(2),(5)/(2)), E (7,3) and F ((7)/(2),(7)/(2)) are the mid...

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