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The differential equation of the family of circles with fixed radius 5 units and centre on the line y=2 is

A

`(y-10)^2((dy)/(dx))^2+y^2 + 20y =0`

B

`(y-10)^2((dy)/(dx))^2-y^2 + 20y =0`

C

`(y-10)^2((dy)/(dx))^2+y^2 - 20y =0`

D

`(y-10)^2((dy)/(dx))^2-y^2 - 20y =0`

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
  1. The differential equation for all circles with centre (h,0) and radius...

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  2. the family of circles having their centres on the line y=10 and touchi...

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  3. The differential equation of the family of circles with fixed radius 5...

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  4. Obtain the differential equation of the family of circles passing thro...

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  5. The differential equation of all circles which passes through the orig...

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  6. The differential equation of all circles which passes through the orig...

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  7. The differential equation of all circles which passes through the orig...

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  8. Form the differential equation of the family of circles touching th...

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  9. Form the differential equation representing the parabolas having ve...

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  10. Fid the differential equation of all the parabolas with latus rectu...

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  11. Show that the differential equation of all parabolas y^2 = 4a(x - b) i...

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  12. The differential equation of all parabolas whose axis are parallel ...

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  13. Form the differential equation of the family of parabolas having ve...

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  14. The differential equation of all parabolas whose axis are parallel ...

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  15. The differential equation (d^(2)y)/(dx^(2))=2 represents which of the ...

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  16. The differential equation for all ellips whose major axis is twice its...

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  17. The equation of the ellips is (x^(2))/(36)+(y^(2))/(16)=k. The differe...

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  18. The differential equation satisfied by sqrt(1-x^(2))+sqrt(1-y^(2))=a(x...

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  19. Consider the equation (x^2)/(a^2+lambda)+(y^2)/(b^2+lambda)=1, where a...

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  20. The differential equation for x^(3)+y^(3)=4ax is

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