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Can somebody please tell me the observations of preliminary tests for the ions Fe2+,Fe3+ and Al3+.Preliminary tests means dry heating test,charcoal cavity test,cobalt nitrate test,flame test and barax bead test.If there is no observation for an ion mentioned above,let me know here.Please post them fast.

Thanks for the solution.

Well you are going correct.Consider both the cases.Firstly,take p,q,s as natural numbers and then take them as integers.But certainly not rationals.

I am sorry but the above explanations are irrelavant to my question .
I just want the correct answer to clear mine and other goiitian's concept.Just tell me the correct options.I have given a geometrical problem based on n as ODD because this involves a tricky concept.

Well I agree with Atish.

thats GOOD.

Folks find this using properties:-

| x z k |

| z x y |

| k y x |

( Broken lines are actiually continuous to represent the determinant.)

Hey guys and respected expert!!!!!!!!!!! You all are correct and thank you all to show me the correct way of solving this determinant using the properties.

Dear Experts ,please solve this deteminant and bring the answer in simplified form.AND PLEASE SOLVE THIS USING THE PROPERTIES.

| x y z|

| y x y|

| z y x|

(NOTE:These are not a broken lines.They are continuous lines for showing the determinant .)

No aysh!!!!!!!

Actually I have the answer of the first part and it is (n-k-1)! / (2k⁴) but I don't know how it has come.I agree with you and I think some other cases in the problem have to be considered as well.Well please try!!!!!!!!!!!!!!!!!!!! for the ii) and iii).

Well I agree with antony.

Hey priya whats the answer???????????????????

n persons have alloted seats while they take seats at random.What is the probability that

i) exactly k persons have found the alloted seats;

ii) at most k persons have found the alloted seats;

iii) at least p persons have found the alloted seats .

Hey!!!!
It is a great trick.

Well priya! The correct option is the one containing 'linear' becase the molar conductivity of an eloctrolyte decreases linearly with the square root of the concentration of the electrolyte.