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Find the condition if the circle whose e...

Find the condition if the circle whose equations are `x^2+y^2+c^2=2a x` and `x^2+y^2+c^2-2b y=0` touch one another externally.

A

`(1)/(b^(2))+(1)/(c^(2))+(1)/(a^(2))`

B

`(1)/(c^(2))+(1)/(a^(2))=(1)/(b^(2))`

C

`(1)/(a^(2))+(1)/(b^(2))=(1)/(c^(2))`

D

`(1)/(b^(2))+(1)/(c^(2))+(2)/(a^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-CIRCLE -Exercise For Session 6
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  9. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

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  10. The equation of the circle described on the common chord of the circle...

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  11. The equation of the diameter of the circle 3(x^(2)+y^(2))-2x+6x-9-0 wh...

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  12. consider two curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 ...

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  13. Find the equation of the circle passing throught (1,1) and the points ...

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  14. Show that the common chord of the circles x^(2)+y^(2)-6x-4y+9=0andx^(2...

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  15. Prove that the circles x^(2)+y^(2)+2ax+2ax+2by=0 and x^(2)+y^(2)+2a(1)...

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  16. The point of intersection of common transverse tangents of two circles...

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