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If the circle x ^(2) + y^(2) + 2gx + 2fy...

If the circle `x ^(2) + y^(2) + 2gx + 2fy+ c=0` touches X-axis, then

A

`g^(2)=c`

B

`f^(2)=c`

C

`g^(2)=f^(2)=c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-THE CIRCLE -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. A circle of radius 5 units touches both the axes and lies in the first...

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  2. The radius of a circle touching x-axis and having centre (2, 4) is

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  3. If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

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  4. The circle x^(2)+y^(2) - 2x+c=0 touches y-axis, then c =

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  5. If the two straight lines 3x - 2y - 8=0 and 2x - y -5=0 lie along two...

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  6. Two circles x^(2)+y^(2)=6 and x^(2)+y^(2)- 6x+8=0 are given. Then the...

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  7. The equation of the circle passing through the intersection of the cir...

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  8. The equation of the circle having its centre on the line x+2y-3=0 and ...

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  9. Equation of the circle touching the circle x^(2) + y^(2) - 15x + 5y = ...

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  10. The equation of the circle which passes through the origin and the poi...

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  11. The circle passing through the intersection of circle x^(2)+y^(2) -3x-...

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  12. If the two curves ax^(2) +2hxy +by^(2) +2g x+2fy +c=0 and d x^(2) +2...

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  13. One of the limit point of the coaxial system of circles containing x^...

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  14. The four point of intersection of the lines ( 2x -y +1) ( x- 2y +3) =...

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  15. If the lines a(1)x+b(1)y+c(1)=0 and a(2)x+b(2)y+c(2)=0 cut the co-ordi...

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  16. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

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  17. If alpha, beta, gamma,delta be four angles of a cyclic quadrilateral t...

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  18. P, Q, R and S are the points of intersection with the co-ordinate axes...

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  19. If the equation of a given circle is x^2+y^2=36 , then the length of t...

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  20. The two lines through (2,3) from which the circle x^(2)+y^(2)=25 inter...

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