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Find the equation of the circle whose ra...

Find the equation of the circle whose radius is `5a n d` which touches the circle `x^2+y^2-2x-4y-20=0` externally at the point `(5,5)dot`

A

`(x^(2)+y^(2))+18x+16y+120=0`

B

`(x^(2)+y^(2))+18x-16y+120=0`

C

`(x^(2)+y^(2))-18x+16y+120=0`

D

`(x^(2)+y^(2))-18x-16y+120=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

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

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

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

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

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

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

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

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

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

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  12. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

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  13. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

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  14. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

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  15. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

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  16. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

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  17. Equation of circle symmetric to the circle x^(2)+y^(2)+16x -24y +183 =...

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  18. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

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  19. Equation of the circle through the origin and making intercepts of 3 a...

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  20. If y=2x is a chord of the circle x^2+y^2-10 x=0 , find the equation of...

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