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General solution of the differential equ...

General solution of the differential equation `y=x(dy)/(dx)+(dx)/(dy)` represent

A

a straight line or a hyperbola

B

a straight line or a parabola

C

a parabola or a hyberbola

D

circles

Text Solution

Verified by Experts

The correct Answer is:
B
`y=x.y'+(1)/(y'),therefore y'=y'+x.y''-(1)/((y')^(2)) xx y''implies(y')^(2)=(1)/(x)` " or " `y''=0`
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VIBRANT-TEST PAPERS-PART - I : MATHEMATICS
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  6. Sum of the series P=(1)/(2sqrt(1)+sqrt(2))+(1)/(3sqrt(2)+2sqrt(3))+......

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  14. If Delta(1)=|(x,b,b),(a,x,b),(a,a,x)|" and "Delta(2)=|(x,b),(a,x)|, th...

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  15. Let Delta(x)=|(cos^(2)x,cosxsinx,-sinx),(cosxsinx,sin^(2)x,cosx),(sinx...

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  18. Let A =[(1,1,0),(0,1,0),(0,0,1)] and let I denote the 3xx3 identity ma...

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