Inequalities

Mathematics

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Qn #1848

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Number of solutions for $\tan^{-1}\sqrt{x(x+1)} + \sin^{-1}\sqrt{x^2 + x + 1} = \dfrac{\pi}{2}$ is:

Qn #1748

Let: $ X = 2^{100},\quad Y = 3^{100},\quad Z = 4^{100} $ Which statement is true?

Qn #1702

Solve inequality $\log_3\big((x+2)(x+4)\big)+\log_{1/3}(x+2)<\dfrac12\log_{\sqrt{3}}7$

Qn #1551

If $x^{2} + 2ax + 10 - 3a > 0$ for all x ∈ R, then

Qn #1417

If $P=sin^{20} \theta + cos^{48} \theta $ then the inequality that holds for all values of is

Qn #1183

If $a_1, a_2,...a_n$ are positive real numbers whose product is a fixed number c, then the minimum of $a_1, a_2, ....2a_n$ is

Qn #1078

The solution set of the inequality is

Qn #1047

If $|z|<\sqrt{3}-1$, then $|z^{2}+2z cos \alpha|$ is