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 \(\overrightarrow b\)...

QUESTION 11 Let \(f(x) = x^3 - 6x^2 + 9x\) If \(f'(x) = ax^2 + bx + c\), then...

QUESTION 12 On the plane \(xy\), there are three points: \(0(0,0), A(2,4), B(3,0)\). Taking point D in the fourth...

QUESTION 13 Given five properties of function, (A) to (E). \begin{equation*} \begin{split} & \text{(A) } f(-x) = - f(x)...

QUESTION 01 \(2 \sqrt{12} - 3 \sqrt{6} : \sqrt{18} = m \sqrt{n}\). The value of \(m + n =...

QUESTION 02 \(\dfrac {x^2 - x - 6}{x^2 + x - 2} - \dfrac{2x - 4}{x - 1} =...

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*}...