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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

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

B

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

C

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

D

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

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AAKASH SERIES-LOCUS-EXERCISE-I
  1. The locus of P such that the area of DeltaPAB is 12 sq. units where A(...

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  2. The base of a triangle lies along the line x=a and is of length a. The...

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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. A line segment of length 2l sliding with ends on the axes, then the lo...

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  5. A straight rod of length 3l unit slides with its ends A, B always on t...

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  6. Through (x(0), y(0)) variable line is drawn cut ting the axes at A, B....

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  7. If h denote the arithmetic mean, k denote G.M. of the intercepts made ...

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  8. If a, b, c are in A.P., a, x, b are in G.P. and b, y, c are in G.P. th...

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  9. Let A = (2,5) and B = (4, -1) are two vertices of a AABC. Third vertex...

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  10. A point moves in the xy - plane such that th sum of its, distances fro...

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  11. If A(a,0), B(-a,0) and angleAPB=45^(@), then the locus of P is

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  12. A = (a,0), B = (-a, 0), P is a moving point such that anglePAB-anglePB...

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

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  14. A point P moves so that the sum of its distance from the points (ae, 0...

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  15. The perimeter of triangle is 14 units and two of its vertices are (-3,...

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

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  17. The locus of the point represented by x=cos^(2)t,y=2sint is

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  18. The locus of the point (sectheta+tantheta,sectheta-tantheta) where the...

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  19. The locus of the point (a(costheta+sintheta),b(costheta-sintheta)), wh...

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  20. If (p,q), (acostheta,bsintheta),(bcostheta,asintheta) are the vertices...

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