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A( 5, 3 ) , B ( 3, - 2 ) , C ( 2, - 1...

` A( 5, 3 ) , B ( 3, - 2 ) , C ( 2, - 1) ` are three points. If P is a point such that the area of the quadrilateral PABC is 10 sq. unit, then the locus of P is

A

` 16 x ^ 2 + 24 xy - 9y ^ 2 + 144 x + 108 y - 76 = 0`

B

` 16 x ^ 2 - 24 xy + 9y ^ 2 - 144 x + 108 y - 76 = 0 `

C

` 16x ^ 2 + 24 xy + 9y ^ 2 - 144 x + 108 y + 76 = 0 `

D

` 16 x ^ 2 - 24 xy - 9 y ^ 2 + 144 x + 108 y + 76 = 0`

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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 P such that area of Delta PAB is 12 square...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. The locus of the point (a sec theta, b tan theta ) where 0 le...

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  15. The locus of the point ( a cos theta + b sin theta, a sin t...

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  16. The locus of the point ( a sec theta + b tan theta , bsec thet...

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  17. The locus of the point ( a cos ^3 theta, b sin ^ 3 theta ) wher...

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  18. If a point (x, y) = (tan theta + sin theta , tan theta - sin t...

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  19. The locus of the point (cot theta + cos theta, cot theta - c...

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  20. The locus of the point (cosec theta - sin theta, sec theta -...

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