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Find the point to which the origin shou...

Find the point to which the origin should be shifted after a translation of axis so that the following equations will have no first degree terms :
(i) `x^(2)+y^(2)-4x-8y+3=0` , (ii) `x^(2)+y^(2)-5x+2y-5=0`

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The correct Answer is:
(i) (2,4)
`((5)/(2),-1)`
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CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 ( Short Type Questions )
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  2. What does the equation 3x^(2)+2xy+3y^(2)-18x-22y+50=0 become if the ax...

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  3. Find the point to which the origin should be shifted after a translat...

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  4. Verify that the area of the triangle with vertices (6,2), (-3,4) and ...

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  5. The distance of a point P from the striaght line x=-4 is equal to its...

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  6. A point P(x,y) moves in the xy - plane in such a way that its distance...

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  7. A point moves in a plane such that its distance from the point (2,3) e...

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  8. Find the locus of a point which moves so that the sum of the squares o...

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  9. Find the equation to the locus of a moving point which is equidistant ...

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  10. The coordinates of a moving point P are (at^(2),2at), where t is a var...

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  11. If theta is a variable , find the equation to the locus of a moving p...

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  12. The ratio of the distances of a moving point from the points (3,4) and...

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  13. A point so moves that the sum of squares of its distances from (a,0) ...

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  14. A(1,2) and B (5,-2) are two given point on the xy-plane, on which C is...

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  15. A moving point is always collinear with the point (2,-1) and (3,4) , f...

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  16. Find the equation to the locus of the moving point which is equidistan...

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  17. The coordinates of a moving point P are (ct+(c)/(t),ct-(c)/(T)), wher...

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  18. The sum of the distances of a moving point from the points (3,0) and (...

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  19. Find the equation to the locus of a moving point which moves in such a...

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  20. The variable straight line (x)/(a)+(y)/(b)=1 is such that , a+b=10. F...

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