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Find the locus of the point P such that ...

Find the locus of the point P such that `PA^2+PB^2=2c^2 ` :where"A(a,0),B(-a,0) and `0 lt |a| lt |c|.`

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The correct Answer is:
`x^(2) + y^(2) = c^(2)-a^(2)`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-LOCUS-TEXTUAL EXERCISES (EXERCISE -1(A))
  1. Find the equation of locus of a point which is at a distance 5 from A ...

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  2. Find the equation to the locus of points equidistant from the points ...

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  3. Find the locus of P for which the distance from P to origin is double ...

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  4. Find the locus of the point which is equidistant from the coordinate a...

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  5. Find the equation of locus of a point equidistant from A (2, 0) and th...

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  6. Find the equation to the locus of the point, the square of whose dista...

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  7. Find the locus of the point P such that PA^2+PB^2=2c^2 :where"A(a,0),...

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  8. Find the equation of locus of P, if the line segment joining (2,3) & (...

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  9. The ends of the hypertenuse of right angled triangle are ( 0 ...

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  10. Find the equation of locus of a point such that the difference of whos...

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  11. Find the equation of locus of P, if A=(4,0),B=(-4,0) and |PA-PB|=4

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  12. Find the equation of locus of a point, the sum of whose distances from...

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  13. Find the equation of the locus of P, if A=(2,3), B=(2,-3) and PA +PB =...

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  14. A(5,3) and B(3,-2) are 2 fixed points. Find the equation of locus of P...

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  15. Find the equation of the locus of a point, which forms a triangle of a...

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  16. If the distance from 'P' to the points (2,3) and (2,-3) are in the rat...

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  17. A(1,2),B(2,- 3),C(-2,3) are 3 points. A point P moves such that PA^(2)...

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