Maths Doubts - Please help!

[Homer Simpson]

How to go about these problems? Please help!

 

[Noel]

[Noel]

[Granpa Simpson]

the product of the tangents at the point of intersection of the curves will be -1, compare with each of the options and you will get the answer...nyhw dis are questions of which examination...???do we need to prepare dynamics and statics too..??

[Granpa Simpson]

for 1. the orthogonal curve to the original curve can be obtained by the following dy/dx=(-1)/(-1/x^2)......(a), where (-1/x^2) is the slope of the original function...now clearly from (a) (dy/dx)=x^2..integrate both sides and you will get..y=(x^3)/3 + C.....

[Shefali]

Do we have to do such quest?