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The locus of the point which is such tha...

The locus of the point which is such that the lengths of the tangents from it to the circles `x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2)` are inversely as their radii is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
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  8. The length of the chord x+2y=5 of the circle x^(2)+y^(2)=9 is

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  10. The equation of the circle with centre (3,-1) and which cuts off a cho...

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  11. The locus of centre of a circle which passes through the origin and cu...

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  12. The equation of the circle which is touched by y=x, has its centre on ...

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  14. The locus of the centre of a circle which passes through the point (h,...

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  16. If the line passing through P=(8,3) meets the circle S-=x^(2)+y^(2)-8x...

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  17. If the tangent at P on the circle x^(2)+y^(2)=a^(2) cuts two parallel ...

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  18. The lines 2x+3y+19=0 and 9x+6y-17=0 cuts the coordinate axes in

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  19. If a circle passes through the points of intersection of the axes with...

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