IIT JEE 1982 Maths - 'Adapted' - Subjective to Multi-Correct Q10
Algebra
Level
pending
\[f(n)=\frac{1}{1+\sqrt2}+\frac{1}{\sqrt2+\sqrt3}+\frac{1}{\sqrt3+2}+...+\frac{1}{\sqrt{n-1}+\sqrt{n}}\]
For \(f(n)\) as defined above, which of the following options are correct?
- A: \(f(10)=2\)
- B: \(f(15)=3\)
- C: \(f(20)=4\)
- D: \(f(25)=5\)
Enter your answer as a 4-digit string of 1s and 9s \(-\) 1 for correct option, 9 for wrong. For example: if A and B are correct, and C and D are incorrect, enter 1199. None, one or all may also be correct.
In case you are preparing for IIT JEE, you may want to try IIT JEE 1982 Mathematics Archives.
by
Shubhamkar Ayare