QUESTION 08 Let a sequence \(a_n = 2, 5, 8, 11, \dotso , a_n\). If \(a_n > 100\), the...

QUESTION 09 Let \(f(x) = x^3 - 2x + 4\). (1) \(f(2) = \) (2) Differential coefficient \(f'(2) =...

QUESTION 10 On the plane \(xy\), there are four points: \(A (a, b)\), \(B (-1, 0)\), \(C (2, 1)\)...

QUESTION 01 When \(\dfrac {a + b}{4} = \dfrac {b+c}{5} = \dfrac{c+a}{6}\), then ratio \(a : b : c...

QUESTION 02 When \(a = 3+2 \sqrt{2}\) and \(b = 3 - 2 \sqrt{2}\), then \(a^2 + b^2 =\)...

QUESTION 03 \(\cos 30^{\text{o}} \sin 45^{\text{o}} \tan 60^{\text{o}} + \cos 135^{\text{o}} \sin 120^{\text{o}} \tan 150^{\text{o}} = \sqrt{m}\). The value...

QUESTION 04 The solutions of an equation \((x + 1)^2 + 9 (x + 1) + 20 = 0\)...

QUESTION 05 When the range of \(x\) determined by \(-ax^2 + bx + 4 \geq 0\) is \(- \dfrac...

QUESTION 06 When \(a = 3\) and \(b = 2\), then \(\log_a b^a \times \log_b a^b =\) 🔍 Solution...

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