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The locus of the middle points of portio...

The locus of the middle points of portions of the tangents to the circle `x^(2)+y^(2)=a^(2)` terminated by the axes is

A

`x^(2)+y^(2)=2a^(2)`

B

`x^(2)+y^(2)=4a^(2)`

C

`x^(-2)+y^(-2)=4a^(-2)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coo...

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  2. The tangents to x^(2)+y^(2)=a^(2) having inclinations alpha and beta i...

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  3. The locus of the middle points of portions of the tangents to the circ...

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  4. Observe the lists:

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  5. If a circle of radius 2 touches X-axis at (1,0) then its centre may be

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  6. The circle passing through (1,-2) and touching the axis of x at (3,0) ...

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  7. Equation of the tangents to the circle at the point (1,-1) whose centr...

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  8. Equation of circles which touch both the axes and also the line x=k(kg...

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  9. Centres of circles touching both the axes and also the line 3x+4y-12=0...

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  10. The radius of the larger circle lying in the first quadrant and touchi...

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  11. The equation of the circles which touch the x-axis at the origin and t...

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  12. If two circles touching both the axes are passing through (2,3) then l...

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  13. The radius of the circle having maximum size passing through (2,4) and...

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  14. Consider a family of circles which are passing through the point (-1,1...

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  15. The locus of centre of the circle touching x-axis nad the line y=x is

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  16. The centre of the circle touching the y-axis at (0,3) and making an in...

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  17. A variable circle passes through the fixed point (2,0) and touches the...

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  18. A circle passes thorugh A(2,1) and touches y-axis then the locus of it...

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  19. A circle passes through A(1,1) and touches x-axis then the locus of th...

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  20. A circle touches x-axis and cuts off constant length 2p from y-axis t...

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