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If `A = (6, 0), B = (0, 4)` and O is the origin, then the locus of P such that the area of `DeltaPOB=2` (area of `DeltaPOA`) is

A

`x^(2)-3y^(2)=0`

B

`x^(2)+3y^(2)=0`

C

`x^(2)-9y^(2)=0`

D

`x^(2)-4y^(2)=0`

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AAKASH SERIES-LOCUS-EXERCISE-I
  1. A line passes through a fixed point A(a, b). The locus of the foot of ...

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  2. The locus of a point which is collinear with the points (3, 4) and (-4...

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  3. If A = (6, 0), B = (0, 4) and O is the origin, then the locus of P suc...

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  4. The locus of P such that the area of DeltaPAB is 12 sq. units where A(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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