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Find the differential equation of all st...

Find the differential equation of all straight lines, which are at a unit distance from origin.

A

`(y-x(dy)/(dx))^(2)=1-((dy)/(dx))^(2)`

B

`(y+x(dy)/(dx))^(2)=1+((dy)/(dx))^(2)`

C

`(y-x(dy)/(dx))^(2)=1+((dy)/(dx))^(2)`

D

`(y+x(dy)/(dx))^(2)=1-((dy)/(dx))^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
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  2. The differential equation of all straight lines passing through the po...

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  3. Find the differential equation of all straight lines, which are at a u...

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  4. The differential equation of the family of fixed radii r with centers ...

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  5. Find the differential equation of the family of circles whose centres ...

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

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  7. The differential equation of all circles whose radius is 5 centre is a...

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  8. The differential equation for all circles with centre (h,0) and radius...

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

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

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

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

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

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

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

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

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

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

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

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

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