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

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,227

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.

Character is who you are when no one is looking.

Offline

Pages: **1**