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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

`1/x^(2)+1/y^(2)=4/a^(2)`

B

`1/x^(2)+1/y^(2)=2/a^(2)`

C

`1/x^(2)-1/y^(2)=4/a^(2)`

D

`1/x^(2)+1/y^(2)=1/a^(2)`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
  1. The locus of the point of intersection of two tangents drawn to the ci...

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  2. The locus of the feet of the perpendicular drawn from the point (a,0) ...

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

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  4. If 4t^(2)-5m(2)+6l+1=0, then the line lx+my+1=0 touches the circle

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  5. The locus of the point (l,m) if the line lx+my=1 touches the circles x...

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  6. A tangent to the circle x^(2)+y^(2)=4 meets the coordinate axes at P a...

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

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  8. A line segment AM=a moves in the XOY plane such that AM is parallel to...

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  9. The circle 4x^(2)+4y^(2)-12x-12y+9=0

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  10. If x^(2)+y^(2)-4x-6y+k=0 touches x-axis then k=

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  11. If x^(2)+y^(2)+6x+2ky+25=0 to touch y-axis then k=

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  12. Find the equation of the circle with centre (-3, 4) and touching y-...

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  13. Find the equation of the circle with centre (-3, 4) and touching y-...

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  14. The equation of a circle with centre (4,1) and having 3x+4y-1=0 as tan...

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  15. The equation of the circle touching both axes, lying in the first quad...

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  16. The equation of the circle of radius 3 that lies in the fourth quadran...

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  17. The equation of the cirlce touching both the axes lying in the third q...

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  18. The equation of the circle passing through (2,1) and touching the coor...

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  19. The equation of the circles touching the coordinate axes and passing t...

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  20. The equation of the circles touching the axes at (5,0) and (0,5) is

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