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Form the differential equation represen...

Form the differential equation representing the family of parabolas having vertex at origin and axis along positive direction of x-axis.

Text Solution

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`y^2=4ax` -(1)
differentiate with respect to x
`2yy'=4a`
putting this value in equation (1)
`y^2=4yy'x`
`y=2y'x`
`y'=y/(2x)`
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