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#1 2007-12-27 18:52:33
- Jai Ganesh
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- Registered: 2005-06-28
- Posts: 48,428
IIT Question Bank - III
Problems from previous years' IIT Joint Entrance Examination (Indian Institute of Technology)
1. A circle is inscribed in an equilateral triangle of side 'a'. Find the area of the square inscribed in this circle.
2. Find the general value of θ satisfying the equation
tan²θ+sec2 θ=1.
3. Solve the equation
sinx-3sin2x+sin3x = cosx-3cos2x+cos3x
4. Find all the solutions of
4cos²xsinx - 2sin²x = 3sinx.
5.If the expression
is real, then find the set of all values of n.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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