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Show that four points (0,-1),(6,7),(-2,3...

Show that four points `(0,-1),(6,7),(-2,3)a n d(8,3)` are the vertices of a rectangle. Also, find its area.

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Points A(-1, y) and B(5,7) lie on a circle with centre O(2,-3y)dot Fin...

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

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  3. Show that four points (0,-1),(6,7),(-2,3)a n d(8,3) are the vertices o...

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  4. If P and Q are two points whose coordinates are (a t^2,2a t)a n d(a/(t...

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  5. If the two vertices of an equilateral triangle be (0,0),(3,sqrt(3)), f...

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  6. The base A B of two equilateral triangles A B C and A B C ' with sid...

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  7. On which axis do the following points lie? P(5,\ 0) (ii) Q(0,\ -2) ...

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  8. Find the value of x , if the distance between the points (x ,\ -...

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  9. Find the point on the xaxis which is equidistant from (2,\ 5)\ a n d \...

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  10. Find a point on the y-axis which is equidistant from the point A(6,...

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

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  12. Prove that the points (-3,\ 0),\ (1,\ -3) and (4,\ 1) are the ve...

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  13. If P(2,\ -1),\ \ Q(3,\ 4),\ \ R(-2,\ 3) and S(-3,\ -2) be four poin...

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  14. Find the co-ordinates of the centre of the circle passing through the ...

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  15. If (-4, 0) and (4,0) are two vertices of an equilateral triangle, find...

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  16. Find the distance between the following pair of points: (-6,\ 7) an...

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  17. Find the distance between the following pair of points: (asinalpha,...

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  18. Find the value of a when the distance between the points (3,\ a)...

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  19. If the points (2,\ 1) and (1,\ -2) are equidistant from the poin...

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  20. Find the values of x ,\ y if the distances of the point (x ,\ y)...

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