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Show that the points (-3,2),(-5,-5),(2,-...

Show that the points `(-3,2),(-5,-5),(2,-3)` and `(4,4)` are the vertices of a rhombus. Find the area of this rhombus.

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Find the angle subtended at the origin by the line segment whose end ...

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  2. Prove that the points (2,3),(-4,-6)a n d(1,3/2) do not form a triangle...

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  3. Show that the points (-3,2),(-5,-5),(2,-3) and (4,4) are the vertices...

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  4. The two opposite vertices of a square are (1,-6)and (5,4). Find the co...

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  5. In an A.P,the sum of m terms of an AP is n and sum of n terms of AP is...

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  6. In the seating arrangement of desks in a classroom three studens Ro...

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  7. Find the coordinates of points which trisect the line segment joining ...

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  8. If the point P(2,2) is equidistant from the points A(-2, k)a n dB(-2k ...

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  9. In what ratio does the point C(3/5,(11)/5) divide the line segment joi...

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  10. Find the ratio in which the line segment joining A(1,\ -5) and B(-4,\ ...

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  11. If a!=b!=c , prove that the points (a , a^2),(b , b^2),(c , c^2) can n...

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  12. A point A divides the join of P(-5,1) and Q(3,5) in the ratio k :1 . T...

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  13. Prove that the mid-point of the hypotenuse of right angled triangle i...

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  14. Show that the points (1,-1),(5,2) and (9 ,5) are collinear.

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  15. Prove that the diagonals of a rectangle bisect each other and are equa...

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  16. Using analytical geometry, prove that the diagonals of a rhombus are ...

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  17. Find the area of the triangle whose vertices are (i)\ \ \ (2,3)," "...

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  18. If the vertices of a triangle have rational coordinates, then prove...

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

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  20. If P(x , y) is any point on the line joining the point A(a ,0)a n dB(0...

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