1. What is the value of (−3)×(−1)= (\sqrt{-3}) \times(\sqrt{-1})= (−3)×(−1)= ?
3i \sqrt{3 \mathrm{i}} 3i
±3 \pm \sqrt{3} ±3
−3 -\sqrt{3} −3
3 \sqrt{3} 3
2. If secθ=−2 \sec \theta=-2 secθ=−2 and π2<θ<π \frac{\pi}{2}<\theta<\pi 2π<θ<π, then what is the value of θ \theta θ ?
−2π3 -\frac{2 \pi}{3} −32π
2π3 \frac{2 \pi}{3} 32π
−π -\pi −π
π \pi π
3. z=3i z=3 i z=3i
Which point is formed by zˉ \bar{z} zˉ ?
(0, -3)
(0, 3)
(-3, 0)
(3, 0)
4. 9x2−16y2=144 9 x^{2}-16 y^{2}=144 9x2−16y2=144 is a equation of hyperbola.
Which one is the equation of directrix?
x=165 x=\frac{16}{5} x=516
y=165 y=\frac{16}{5} y=516
x=±165 x= \pm \frac{16}{5} x=±516
y=±165 y= \pm \frac{16}{5} y=±516
5. If 2+i 2+i 2+i is a root of x2+mx+n=0 x^{2}+m x+n=0 x2+mx+n=0, which one is the value of m m m and n n n ?
m=4,n=5 m=4, n=5 m=4,n=5
m=−4,n=5 \mathrm{m}=-4, \mathrm{n}=5 m=−4,n=5
m=−4,n=−5 m=-4, n=-5 m=−4,n=−5
m=4,n=−5 m=4, n=-5 m=4,n=−5