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Find what the following equations become when the origin is shifted to the point (1,1): `x y-y^2-x+y=0`

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To find out what the equation \( xy - y^2 - x + y = 0 \) becomes when the origin is shifted to the point \( (1, 1) \), we will follow these steps: ### Step 1: Understand the Shift of Origin When the origin is shifted from \( (0, 0) \) to \( (1, 1) \), we need to express the new coordinates \( (x', y') \) in terms of the old coordinates \( (x, y) \). The relationships are given by: \[ x' = x - 1 \] \[ ...
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RD SHARMA ENGLISH-BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES-All Questions
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  2. Find what the following equation become when the origin is shifted ...

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  10. Find the point to which the origin should be shifted after a transl...

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  11. Find the point to which the origin should be shifted after a transl...

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  13. The vertices of a triangle are O(0,0),\ A(a ,0)a n d\ B(0, b) . Write ...

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  14. Write the coordinates of the orthocentre of the triangle formed by ...

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  15. Three vertices of a parallelogram, taken in order, are (-1, -6), (2...

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  16. If the points (a ,0),(a t1 ^ 2,\ 2a t1)a n d\ a t2^ 2,\ 2a t2) are c...

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  17. Write the co ordinates of the circumcentre of a triangle whose centroi...

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  18. Write the coordinates of the incentre of the triangle having its ve...

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  19. If the points  (1,-1), (2,-1) and (4,-3) are the mid points of the ...

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  20. Write the area of the triangle having vertices at (a , b+c),\ (b , c+a...

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