looks like the area is not convergent.

it is surely ggreater than pi sboosy for it worked out to be

6578.2676

K. i looked at the ans n figd dis out

 consider k=d^2y/dx^2 +2dy/dx

k=dk/dx

so k=ae^x

now plug in n solve..

I sort of understood what amrish was saying.

I saw d ans n did some golmaal substitution to get the ans.

did u also do it by the method amrish sharma gave ?

when u bring in complex numbers and their conjugates, theres a discrepancy.

for ur eqn 

z^4+z'=0 (z'-- conjugate.)

z^4=-z'

take modulus 

|z|^4=|z|

so |z|=0 or |z|=1 (the other 2 solns are meaningless)

|z|=0--->z=0 1 soln

|z|=1--->|z|^2=0--->zz'=0

z'=1/z

substitute

z^4+1/z=0

z^5=-1

this eqn obv has 5 roots

total 6 roots

I think it's 6.

das not the ans

Sorry, but you are completely wrong

Who said derivative of a function<the function???????

x^4-1

derivative at x=1 > fn at x=1

so ur line of reasoning  is wrong!!!

das not the ans.

Image can be formed by plane mirror under the condition x<y.

Bt den img  by mirror will be on d oder side,

now contrarily, 

if x>y den only 1 image will b formed as lite rays frm d mirror cant form an indepdt img??

Correct me if im wrong

b and c

The extension of the spring will be lower because of the buoyant force on the bloc.

So A reads <2

now there will be a reaction force to the buoyant force , on the water by d bloc.

so B >5

Consider the conjugate of the expression,

Subtract both --that shud be an integer,

now do some jugglery , multiply both n get this result

edit : rohit has already gvn the rite method

ans is 2^11