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The equation to the locus of a poi...

The equation to the locus of a point P for which the distance from P to ` ( 4, 0)` is double the distance from P to ` x ` - axis is

A

` x ^ 2 + 3y ^ 2 + 8x + 16 = 0 `

B

` x ^ 2 + 3y ^ 2 - 8 x - 16 = 0 `

C

` x ^ 2 - 3 y ^ 2 + 8 x - 16 = 0 `

D

` x ^ 2 - 3y ^ 2 - 8 x + 16 = 0`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-LOCUS-EXERCISE 1 MULTIPLE CHOICE QUESTIONS
  1. The equation to the locus of points equidistant from the points...

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  2. If the equation of the locus of a point equidistant from the p...

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  3. The equation to the locus of a point P for which the distance...

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  4. A point moves so that its distance from y - axis is half of...

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  5. The locus of P for which the distance from P to origin is d...

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  6. A ( - 9, 0) ,B ( - 1, 0) are two points. If P is a point...

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  7. The locus of the moving point P, such that 2PA = 3 PB wh...

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

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

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

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

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

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

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

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

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

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

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

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

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

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