JEE Advanced Linear Inequalities — previous year questions

4 questions from 2013, 2011, 2009.

• If 3ˣ = 4ˣ⁻¹, then x =2013JEE Advanced
• For x ∈ R, then number of real roots of the equation 3x² - 4|x² - 1| + x - 1 = 0 is ____.2011JEE Advanced
• The number of distinct real roots of x⁴ - 4x³ + 12x² + x - 1 = 0 is ______.2011JEE Advanced
• Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations 3x - y - z =…2009JEE Advanced

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