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The order and degree of the differential...

The order and degree of the differential equation of parabolas having vertex at the origin and focus at ( a,0) where ` a gt 0` , are respectively.

A

1,1

B

2,1

C

1,2

D

2,2

Text Solution

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The correct Answer is:
A

The eq. of parabolas having vertex at (0,0) & foces at (a,0) where ` (a gt 0) `is
` y^(2) =4ax`
` 2y .(dy)/(dx) = 4a`
On putting the value of (4a) in eq. (1) we get
` 2x.(dy)/(dx) -y=0`
In order = 1 & degree =1
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