QUESTION 01 \(\sqrt{27} - \sqrt{2} (\sqrt{6} + \sqrt{2} ) + \dfrac {6}{\sqrt{3}} = a \sqrt{b} + c\). The value...

QUESTION 02 The range of \(x\) that satisfy the ineequality \( \left| x - \dfrac 32 \right| < \dfrac...

QUESTION 03 When \(x^2 - 2ax + a^2 - b^2\) is factorized, it is \( \bbox[6px, border: 2px solid...

QUESTION 04 The largest is \(\bbox{(1)}\) among \(A = \sqrt{3}\), \(B = \sqrt{9}\) and \(C...

QUESTION 05 When \(\alpha\) and \(\beta\) are the solutions of the quadratic equation \(x^2 - 3x + p =...

QUESTION 06 How many six digit numbers can be made by using 1, 2, 2, 3, 3, 3? 🔍...

QUESTION 07 \( -5, -2, 1, \dots, 28 \) is an arithmetic progression. The sum of the arithmetic progression...

QUESTION 08 In a space with a coordinate system, when three points \(A(1,3,-2)\), \(B(2,x,1)\) and \(C(y,1,4)\) are located on...

QUESTION 09 Let \(f(x) = \dfrac{1}{3}x^3 - 2x^2 + 4x + 1\). (i) The derivative of \(f(x)\), \(f'(x) =...

QUESTION 10 A triangle \(ABC\) on a plane satisfies \(AB = 8\), \(BC = 10\) and \(\cos \angle ABC...