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A tangent to the circle x^(2)+y^(2)=4 me...

A tangent to the circle `x^(2)+y^(2)=4` meets the coordinate axes at P and Q. The locus of midpoint of PQ is

A

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

B

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

C

`1/(x^(2))+1/(y^(2))=1/3`

D

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

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. If the square of the length of the tangents from a point P to the circ...

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  2. If the length of the tangent from (1,2) to the circle x^(2)+y^2+x+y-4=...

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

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  4. The locus of the point of intersection of tangents to the circle x=a c...

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  5. The circle with centre (2,3) touching x-axis has the radius equal to

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  6. Circle touching y-axis and centre (3,2) is

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  7. The equation of the circle touching both the axes, lying in the third...

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  8. The x intercept of the circle x^(2)+y^(2)+8x-9=0 is

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  9. x^(2)+y^(2)-14x-10y+24=0 makes an

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

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  11. A circle passes through (-2,4) and touches the y-axis at (0,2). Which ...

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  12. If I(1),I(2),I(3) are the intercept on x-axis, y-axis, y=x w.r.t x^(2)...

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  13. If a circle of radius 4 touches x-axis at (2,0) then its centre may be

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  14. The equation of the circle touching the coordinate axes the line x+2=0...

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  15. Two circles touching both the axes intersect at (3,-2) then the coordi...

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  16. If two circles touching both the axes intersect at two points P and Q ...

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

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  18. The radius of the circle of least size that passes through (-2,1) and ...

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  19. The equation of the circle which touches both the axes and the line 4x...

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  20. Equation of circle which touch X-axies at (3,0) and making Y-intercept...

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