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

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

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The correct Answer is:
`16x^(2) - 24xy + 9y^(2) - 144x + 108 y - 76 =0`
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AAKASH SERIES-LOCUS-SOLVED EXAMPLES
  1. The equation of the locus of the point whose distance from x -...

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  2. The locus of the point, for which the sum of the sqaures of...

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  3. If the distances from P to the points ( 3, 4 ) , ( - 3, 4 ) ...

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  4. A(2,3) , B (1,5), C(-1,2) are the three points . If P is a point such...

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

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  6. A(1,1) , B (-2,3) are two points . If a point P forms a triangle of ar...

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  7. A(5,3) , B (3,-2),C(2,-1) are the three points . If P is a point such ...

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  8. A(a,0) , B(-a,0) are two point . If a point P moves such that anglePAB...

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  9. An iron rod of length 2l is sliding on two mutually perpendicular line...

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  10. A straight rod of length 9 unit, slides with its ends A, B alwa...

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  11. Find the number of points in the locus represented by the equation x^(...

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  12. Find the locus of the point which is at a constant distance of 5 units...

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  13. Find the equation of locus of the point for which the sum of squares o...

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  14. If the distance from P to the points (3,4) and (-3,4) are in the ratio...

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  15. A ( 2, 3 ) , B ( 1, 5 ) , C ( - 1, 2 ) are the three points....

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

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  17. A(1,1),B(-2,3) are two points. If a point P forms a triangle of area 2...

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

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  19. An iron rod of length 2l is sliding on two mutually perpendicular line...

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  20. A straight rod of length 9 unit, slides with its ends A, B alwa...

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