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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)=1/4`

C

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

D

none

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
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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 tangents to x^(2)+y^(2)=a^(2) having inclinations alpha and beta i...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The equation of the cirles touch the x-axis (3,0) and make an intercep...

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

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  20. Equation of the circle touching the y-axis at (0,sqrt3) and cuts the x...

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