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If A ( a, 0 ) , B ( - a, 0) , then...

If ` A ( a, 0 ) , B ( - a, 0) `, then the locus of the point P such that ` PA^ 2 + PB^ 2 + 2 c^ 2 ` is

A

` x ^ 2 + y ^ 2 + a ^ 2 - c ^ 2 = 0 `

B

` x ^ 2 + y^ 2 + a ^ 2 + c ^ 2 = 0 `

C

` 2 x ^ 2 + y ^ 2 + 3a ^ 2 - c ^ 2 = 0 `

D

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

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-LOCUS-EXERCISE 1 MULTIPLE CHOICE QUESTIONS
  1. The locus of the moving point P, such that 2PA = 3 PB wh...

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  2. A ( 2, 3 ) , B ( 3, - 4 ) are two points. The locus of the ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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