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The differential equation of all straigh...

The differential equation of all straight lines which are at a constant distance p from the origin, is
(a) `(y+xy_1)^(2)=p^(2) (1+y_(1)^2)`
(b) `(y-xy_(1)^(2))=p^(2) (1+y_(1))^(2)`
( c ) `(y-xy_(1))^(2)=p^(2) (1+y_(1)^(2))`
(d) None of these

A

`(y-xy_(1))^(2)= p^(2)(1-x)^2`

B

`(y-xy_1)^(2)= p^(2)(1+x^2)`

C

`(y-xy_1)^(2)= p^(2)(1+y_(1)^(2))`

D

`(y+xy_1)^(2)= p^(2)(1+y_(1)^(2))`

Text Solution

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The correct Answer is:
C
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