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A B C D is a rectangle formed by join...

`A B C D` is a rectangle formed by joining the points `A(-1,\ -1),\ \ B(-1,\ 4),\ \ C(5,\ 4)` and `D(5,\ -1)dot` `P ,\ Q ,\ R` and `S` are the mid-points of sides `A B ,\ B C ,\ C D` and `D A` respectively. Is the quadrilateral `P Q R S` a square? a rectangle? or a rhombus? Justify your answer.

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
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  2. A(4,\ 2),\ B(6,5) and C(1,\ 4) are the vertices of A B C . Find th...

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  3. A B C D is a rectangle formed by joining the points A(-1,\ -1),\ \ ...

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  4. Show that A(-3,\ 2),\ \ B(-5,\ -5),\ \ C(2,\ -3) and D(4,\ 4) are the ...

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  5. Find the ratio in which the y-axis divides the line segment joining...

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  6. If the points A(6,\ 1),\ \ B(8,\ 2),\ \ C(9,\ 4) and D(k ,\ p) are ...

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  7. In what ratio does the point (-4,\ 6) divide the line segment jo...

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  8. Find the coordinates of a point A , here A B is a diameter of th...

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  9. Find the ratio in which the point P(-1,\ y) lying on the line se...

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  10. Points P ,\ Q ,\ R and S divide the line segment joining the points...

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  11. Find the ratio in which the point P(x ,\ 2) divides the line seg...

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  12. Find the ratio in which the line segment joining the points A(3,\ -...

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  13. Find the ratio in which the point P((3)/(4), (5)/(12)) divides the lin...

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  14. Find the coordinates of the centroid of a triangle whose vertices a...

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  15. Find the centroid of the triangle whose vertices are: (i)(1,\ 4),\ (...

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  16. Two vertices of a triangle are (1,\ 2),\ (3,\ 5) and its centroi...

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  17. If (-2,\ 3),\ (4,\ -3) and (4,\ 5) are the mid-points of the sides ...

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  18. In Fig. 14.40, a right triangle B O A is given. C is the mid-poi...

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

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  20. Find the area of a triangle whose vertices are A(3,2),\ \ B(11 ,\ 8...

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