QUESTION 07 Let \(\vec a = (1,0,-1), \vec b = (-2,2,1), \vec c = (x,y,z) \quad x > 0\)...

QUESTION 08 Let M denote the midpoint of side BC of a triangle ABC. When \(BC = 8, CA...

QUESTION 09 The equation of the tangent to the curve \(f(x) = -x^2 + x + 2\) at the...

QUESTION 10 A triangle \(ABC\) on a plane satisfies \(AC = BC\) and \(\angle ACB = 90^{\circ}, DC =...

QUESTION 01 The range of \(x\) that satisfies the following inequality \(| x + 3 | < 4x\) is...

QUESTION 02 The number of solutions \((x,y,z)\) of the equation \(x + y + z = 4\), where \(x\),...

QUESTION 03 On the plane \(xy\), there are two points: \(O(0,0), A(6,8)\). The equation of the circle with a...

QUESTION 04 \(\log_4 9 = \log_2 \: \bbox{(1)}\), \(\log_9 4 = \log_3 \: \bbox[6px, border:...

QUESTION 05 \(\sqrt {25} \times \sqrt {25} : \sqrt {5} = \bbox{\sqrt{(1)}}\) 🔍...

QUESTION 06 Let the sequence \(a_n\) (\(n = 1, 2, 3, \dots\)) be a geometric progression satisfying \(a_1 +...