Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2007-12-27 18:52:33

Registered: 2005-06-28
Posts: 18,630

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 is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.


Board footer

Powered by FluxBB