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Correct answer is B....................................but please explain it how ? Pic of question is attached

Correct answer is B....................................but please explain it how ? Pic of question is attached

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Grade:12

4 Answers

Amit
405 Points
6 years ago
Hi there.. it is direct Clairaut from of DE.. which is equal to y=px +f(p) where p is equal to dy/dx.. here f(p) = 1/p .. for solving it take derivative both side wrt x and again write dy/dc which will come on left side as p... Hope you got it..
Nikhil
64 Points
6 years ago
thanks Tushar
Hi bro..... get a lot of clue by your above statement but i haven’t still approved
bcoz i am still some away from answer.
as ur given instructions i started and reached to
d2y/dx2(x – (dx/dy)2=0
which comes out either d2y/dx2 =0 or (x – (dx/dy)2=0
d2y/dx2 =0  is diff. eqn of a straight line I agree
but (x – (dx/dy)2 is not the diff. eqn of parabola............
If I have made any mistake plz check it and help me to improve....
 
Amit
405 Points
6 years ago
Hi bro.. To further make the other part simplify we can write (dy/dx)²= 1/x or dy/dx=1/√x.. Take dx the other side .. it will be dy=dx/√x.. Now integrate both side we get y=2√x +c or x=y²/4 +C.. which is a equation of parabola.. I hope it should not be a problem now.. Thanks So much that you like the other part.
Phanindra
226 Points
5 years ago
Hey...i will give the answer in another method...
The given equation can be written as ... y = mx + 1/m....Hope you can understand this...
This is the tangent of a parabola.... Standard form of line is...y = mx + c 
For a parabola... C = a/m... Here in this question... a=1...
Hope you have understood this...

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