QUESTION 03 When \(\alpha + \beta = 2\) and \(\alpha \beta = 4\), then \(\alpha^2 + \beta^2 =\) \(a^3...

QUESTION 04 The smallest solutions of equation \(x^4 - 13x^2 + 36 = 0\) is ... 🔍 Solution \begin{equation*}...

QUESTION 05 The solutions of equation \(\sin^2 x - \cos x + 1 = 0\) where \(0^{\text{o}} \leq x...

QUESTION 06 The solutions of equation \(2 \log_{10} (x - 4) - \log_{10} 4(x - 1) = 0\) is...

QUESTION 07 The area of the common region expressed by two inequalities \(x^2 + y^2 \leq 4\) and \(x...

QUESTION 08 There are five boys and five girls. How many ways can three be chosen from ten? How...

QUESTION 09 If sequence \(a_1 = 1, a_2 = 4, a_3 = 7, a_4= 10, \dotso\) then \(a_{30} =...

QUESTION 10 Let vector \(\overrightarrow a = (2,3)\) and \(\overrightarrow b = (x,2)\). When \(\overrightarrow a\) and \(\overrightarrow b\)...

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QUESTION 07 Let \(f(x) =-x^2 - 2ax + b, (a \neq 0)\). When \(f (1) = 3\) and the...