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Verify that the area of the triangle wi...

Verify that the area of the triangle with vertices (6,2), (-3,4) and (4,-3) remains unaltered under the translation of axis when the origin is shifted to the point (2,-1).

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CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 ( Short Type Questions )
  1. What does the equation 3x^(2)+2xy+3y^(2)-18x-22y+50=0 become if the ax...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The sum of the intercepts cut off from the coordinate axes by a variab...

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