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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

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
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  2. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

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  3. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

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  4. about to only mathematics

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  5. The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 ...

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  6. The locus of the centres of the circles which touch x^2+y^2=a^2 and x^...

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  7. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

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  8. Two lines through (2, 3) from which the circle x^2+y^2 =25 intercepts ...

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  9. A line meets the coordinate axes at A and B . A circle is circumscribe...

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  10. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

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  11. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

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  12. Find the equation of the circle whose radius is 5a n d which touches t...

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  13. If AB is a diameter of a circle and C is any point on the circle, then...

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  14. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  15. The point of which the line 9x + y - 28 = 0 is the chord of contact of...

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  16. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

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  17. If the straight line x=2y+1=0 intersects the circle x^2+y^2=25 at poin...

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  18. If the chord of contact of the tangents drawn from the point (h , k) t...

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  19. Find the equation of the circle which cuts the three circles x^2+y^2-3...

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  20. The equation of a circle which passes through (2a, 0) and whose radica...

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