9000090903 Časť: CUrčte \(m\in \mathbb{R}\) tak, aby bod \(C = [m;0]\) ležal na priamke \(p\). \[ p\colon 3x - 2y + 11 = 0\]\(m = -\frac{11} {3} \)\(m = -1\)\(m = 11\)\(m = -\frac{1} {11}\)\(m = 2\)
9000090902 Časť: CUrčte \(m\in \mathbb{R}\) tak, aby bod \(C = [m;3]\) ležal na priamke \(p\).\begin{align*} p\colon x &= 1 - t, \\ y &= -3 + 2t;\ t\in \mathbb{R} \end{align*}\(m = -2\)\(m = 4\)\(m = 11\)\(m = -\frac{11} {3} \)\(m = \frac{3} {2}\)
9000090901 Časť: CUrčte \(m\in \mathbb{R}\) tak, aby bod \(C = [1;m]\) ležal na priamke \(AB\), kde \(A = [2;5]\), \(B = [-3;2]\).\(m = \frac{22} {5} \)\(m = 20\)\(m = -3\)\(m = \frac{2} {3}\)\(m = -\frac{5} {2}\)
9000090904 Časť: CUrčte \(m\in \mathbb{R}\) tak, aby priamka \(p\colon x - 2y + 7 = 0\) bola rovnobežná s priamkou \(q\colon mx + 3y - 11 = 0\).\(m = -\frac{3} {2}\)\(m = \frac{2} {3}\)\(m = \frac{3} {2}\)\(m = -\frac{2} {3}\)iná možnosť