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A point so moves that the sum of squares...

A point so moves that the sum of squares of its distances from (a,0) and (-a,0) is `2b^(2)`. Find the equation to the locus of the moving point . If a=b then what will be the locus of the moving point?

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The correct Answer is:
`x^(2)+y^(2)=b^(2)-a^(2)andx^(2)+y^(2)=0` , Point circle
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CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 ( Short Type Questions )
  1. A point moves in a plane such that its distance from the point (2,3) e...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. S(sqrt(a^(2)-b^(2)),0)andS'(-sqrt(a^(2)-b^(2)),0) are two given point...

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  17. The coordinates of moving point P are ((2t+1)/(3t-2),(t-1)/(t+1)), wh...

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  18. The coordinates of a moving point P are [6sectheta ,8tantheta] where t...

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  19. If theta is a variable and a is contant , then find the locus of the p...

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  20. Iine xsintheta+ycostheta=p intercepted between the coordinate axes .

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