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The equation to the locus of P such that...

The equation to the locus of P such that the join of (a, b) and (b, a) subtend a right angle at P, is

A

`x^(2)+y^(2)-ax-by+ab=0`

B

`x^(2)+y^(2)-ax-by+2ab=0`

C

`x^(2)+y^(2)-(a+b)(x+y)+ab=0`

D

`x^(2)+y^(2)-(a+b)(x+y)+2ab=0`

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AAKASH SERIES-LOCUS-EXERCISE-I
  1. Let A(1,0), B(-1,0), C(2, 0) then the locus of a point P such that PB^...

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  2. If A(a, 0), B(-a, 0) then the locus of the point P such that PA^(2)+PB...

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  3. The equation to the locus of P such that the join of (a, b) and (b, a)...

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  4. A line passes through a fixed point A(a, b). The locus of the foot of ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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