Question
The differential equation for all the straight lines which are at a unit distance from the origin is (A)(y-kay--( V- (y+medy y +X Cebu 13011511626|
Solution Since the equation of lines whose distance from origin is unit, is given by
x cos a + y sin a=1
dy
Differentiate w.r.tx, we get cos a+ sin a=0
On eliminating the 'a' with the help of (i) and (ii)
i.e., (i)-x*(ii)
........(iv)
Also (1) cor a = ( x ) = cora
Therefore by ci) and (v), 1+ Cm * (v-
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