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If the circleS x^(2)+y^(2)-6 x-8 y+c=0 ...

If the circleS `x^(2)+y^(2)-6 x-8 y+c=0` and `x^(2)+y^(2)=9` have three common tangtnts then `c=`

A

18

B

19

C

20

D

21

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The correct Answer is:
D
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HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. If 2 x-3 y=0 is the equation of the common chord of the circleS x^(2)...

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  2. The number of tangtnts from (1,2) to the circle x^(2)+y^(2)-2 x-4 y+4...

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  3. If the circleS x^(2)+y^(2)-6 x-8 y+c=0 and x^(2)+y^(2)=9 have three c...

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  4. The ltngth of the tangtnt to the circle x^(2)+y^(2)-2 x-y-7=0 at (-1,...

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  5. The number of common tangtnts to the circleS x^(2)+y^(2)+2 x+8 y-23=0...

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  6. If two circleS x^(2)+y^(2)=4 and x^(2)+y^(2)-24 x-10 y+a^(2)=0 have e...

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  7. The abscissa of two points A and B are the roots of x^(2)-4 x+2=0 and ...

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  8. The image of the circle x^(2)+y^(2)-2 x=0 in the line x+y=2 is the c...

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  9. The ltngth of the chord of the circle x^(2)+y^(2)-6 x+4 y-5=0 interce...

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  10. Image of the circle x^(2)+y^(2)+16 x+18 y+85=0 in the y -axis is

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  11. The equation of a circle with origin as centre and passing through the...

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  12. A square in inscribed in the circle x^(2)+y^(2)-2 x+4 y-3=0 . Its sid...

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  13. The equation to the circle with centre (2, 1) and touching the line 3x...

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  14. The line y=x+a sqrt(2) touches the circle x^(2)+y^(2)=a^(2) at the po...

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  15. The equation of a circle is x^(2)+y^(2)=25. The equation of its chord...

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  16. The equation of the chord of the circle x^2 + y^2 - 4x = 0, whose mid-...

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  17. The value of k for which the circles x^2 + y^2 - 3x + ky - 5 = 0 and 4...

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  18. Two tangents to the circle x^2 + y^2 = 4 at the points A and B meet at...

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  19. The locus of the centre of the circle in which the chord joining the ...

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  20. The tangents drawn from the origin to the circle : x^2+y^2-2gx-2fy+f^2...

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