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Find the area of the triangle ABC with A...

Find the area of the triangle ABC with `A(1,-4)` and mid-points of sides through A being `(2,-1)a n d(0,-1)dot`

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The correct Answer is:
12 sq. units
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VK GLOBAL PUBLICATION-COORDINATE GEOMETRY -PROFICIENCY EXERCISE ( Short Answer Questions-I )
  1. Find the area of the triangle whose vertices are (- 4, 8), (6, - 6) an...

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

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  3. Find the area of the triangle ABC with A(1,-4) and mid-points of sides...

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  4. If (a,b) is the mid - point of the line segment joining the points A (...

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  5. If (a,b) is the mid - point of the line segment joining the points A (...

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  6. Find the ratio in which the line 2x+3y-5=0 divides the line segment jo...

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  7. If the centre of a circle is (2a,a-7) ,then Find the value of a , if t...

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  8. Find the coordinates of points which divide the line segment joining A...

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  9. Find the value of k for which the points A(k+1, 2k), B(3k, 2k +3) and ...

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  10. Find the coordinates of the point R on the line segment joining the po...

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  11. Find the third vertex of a triangle, if two of its vertices are at ...

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  12. Find the area of the quadrilateral whose vertices taken in order are (...

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  13. The area of a triangle is 5 square unit. Two of its vertices are (2, 1...

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  14. If the points A (2,9), B (a,5) and C (5,5) are the vertices of a tria...

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  15. The vertices of a triangle are (a, b - c), (b, c - a) and (c, a - b). ...

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  16. The base PQ of two equilateral triangles PQR and PQR with side 2a lies...

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  17. If the points (a, b), (a', b') and (a-a', b-b') are collinear, show th...

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  18. Show that the points (a^(2) , 0), (0, b^(2) ) and (1, 1) are collinear...

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  19. The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) ...

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  20. Show that (1, -1) is the centre of the circle circumscribing the trian...

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