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The point P moves such that the s...

The point P moves such that the sum of the squares of its distances from two fixed points ` A (a, 0) and B ( - a, 0) ` is constant and equal to ` 6 a ^ 2 `. The locus of P is

A

` x ^ 2 - y ^ 2 = a^ 2 `

B

`x^2-y^2=2a^2`

C

`x^2+y^2=2a^2`

D

`x^2+y^2=a^2`

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-LOCUS-EXERCISE 1 MULTIPLE CHOICE QUESTIONS
  1. A ( 2, 3 ) , B ( 3, - 4 ) are two points. The locus of the ...

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  2. If A ( a, 0 ) , B ( - a, 0) , then the locus of the point ...

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  3. The point P moves such that the sum of the squares of its ...

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  4. Sum of the sqaures of the distances from a point to ( c, 0 ...

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  5. A (1, 2 ) , B (2, - 3 ), C ( - 2, 3 ) are three points. If P ...

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

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  7. A ( 2, 3 ) , B ( - 1, 1 ) are two points . If P is a point...

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  8. The locus of P such that area of Delta PAB is 12 square...

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  9. O ( 0, 0 ) , A ( 6 , 0 ) , B ( 0 , 4 ) are three points. If P...

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  10. A( 5, 3 ) , B ( 3, - 2 ) , C ( 2, - 1) are three points. If P is...

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  11. The locus of a point such that the sum of its distances from ...

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  12. A (2, 3 ) , B ( 2, - 3 ) are two points. The equation to the l...

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  13. A ( a, 0) , B( -a, 0) are two points. The equation to the locu...

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  14. A ( a e, 0 ), B( - ae, 0) are two points. The equation to the ...

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  15. A ( 2, 3 ) , B ( -2, 3 ) are two points. The locus of P which...

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  16. A ( 0 , 4 ) , B ( 0 , - 4 ) are two points. The locus of P wh...

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  17. The perimeter of a triangle is 20 and the points ( -2, 3 ) a...

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  18. The locus represented by x = (a)/(2) ( t + (1)/(t)), y = (a )/...

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  19. The locus of the point ( a cos theta, b sin theta ) where ...

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  20. The locus of the point (a cos h theta, b sin h theta ) is

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