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A circel cuts intercepts of lenghts 2a a...

A circel cuts intercepts of lenghts 2a and 2b from the x-axis and the y-axis respectively. Then the equation to the locus of the centre of the circel is-

A

`x^(2) -y^(2) =2(a ^(2) -b^(2))`

B

`x ^(2) - y^(2) = a ^(2) -b^(2)`

C

`x^(2) -y^(2) =b^(2) -a^(2)`

D

`2(x ^(2) - y^(2)) =a^(2) -b^(2)`

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 8
  1. The coordinates of O , A and B are (0,0) , (x,y) and (y,x) respectivel...

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  2. If t is a variable parameter, then the equation to the locus defined b...

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  3. A circel cuts intercepts of lenghts 2a and 2b from the x-axis and the ...

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  4. The ordinate of the centre of the circle passing through (0,0) and (1,...

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  5. The sides of a triangle are 3x+4y, 4x +3y and 5x +5y where, x, y gt 0,...

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  6. The triangle formed by joining the points (x,y,z), (y,z,x) and (z,x,y)...

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  7. The sum of the focal distances of any point on the conic 16x^(2) + 25 ...

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  8. Without rotation of axes if the origin is shifted to the point ((ab)/(...

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  9. The distance between the lines 5x+3y =7 and 15 x +9y +14=0 is-

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  10. The ratio in which he line-segment joining the points (p,q,r) and (-p,...

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  11. The centre of a circel is at (2, -3) and its circumference is 10pi, th...

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  12. If two circles (x-1) ^(2) + (y-3) ^(2) =r^(2)and x ^(2) +y^(2) -8x +2y...

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  13. The lines ax+by+c=0, bx+cy+a =0, cx+ay+b =0 are concurrent when-

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  14. If (at^(2) , 2at) be the coordinate of an extremity of a focal chord o...

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  15. Let L be the end of a latus rectum of the ellipse 2x^(2) +4y^(2) =1 an...

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  16. 36 candidates appeared for an examination, 15 candidates passed I math...

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  17. If n(A) =4, n(B)=3 and n(Axx B xxC)=24, then the value of n(C ) is-

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  18. Two finite sets A and B are having m and n elements.The total number o...

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  19. Let R = {(3,3)}, (6,6) , (9,9) ,(12,12), (6,12),(3,9), (3,12), (3,6)},...

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  20. The equation of the hyperbola having its eccentricity 2 and the distan...

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