QUESTION 04 The number of integers that satisfy the following inequalities \(-x < x^2 < 6\) is \(\bbox[10px, border:...

QUESTION 05 Among four-digit integers where digits are all different numerals, the total possible number of integers that are...

QUESTION 06 When \(\vec a + \vec b + \vec c = \vec 0\) and \(\| \vec a \|...

QUESTION 07 In the progression \(3, 4, 6, 10, 18, \dots\), the numeral of the 8th term is \(\bbox[10px,...

QUESTION 08 Let \(f(x) = x^2 - 4x + 1\). (i) \(f(-2) = \bbox{(1)}\) (ii)...

QUESTION 09 In a space with a coordinate system, there are three points \(A(0,1,1), B(-1,-1,2)\) and \(C(2,3,1)\). The area...

QUESTION 10 A quadrangle \(ABCD\) which is inscribed in a circle on a plane satisfies \(2AB = AC, \:...

QUESTION 11 On the plane \(xy\), the graph of the parabola \(y = ax^2 + bx + c\) is...

QUESTION 01 \(\log_5 0.008 = \bbox{(1)}\), \(\left( \sqrt {16} \right)^3 = \bbox[10px, border: 2px solid...

QUESTION 02 \(\sin 75^{\circ} + \sin 120^{\circ} - \cos 150^{\circ} + \cos 165^{\circ} = \sqrt{a}\). Find the value of...