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The differential equation of all circles passing through the origin and having their centres on the x-axis is (1) `x^2=""y^2+""x y(dy)/(dx)` (2) `x^2=""y^2+"3"x y(dy)/(dx)` (3) `y^2=x^2""+"2"x y(dy)/(dx)` (4) `y^2=x^2""-"2"x y(dy)/(dx)`

A

`x^(2)=y^(2)+x y y'`

B

`x^(2)=y^(2)+3xy y'`

C

`y^(2)=x^(2)+2xy y'`

D

`y^(2)=x^(2)-2xy y'`

Text Solution

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The correct Answer is:
C
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 3-MCQS
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