MCQ
If $(3,4),(2,5)$ and $(-9,16)$ are there complex numbers then:
- Athese are the vertices of right angled triangle
- Bthese are the vertices of equilateral triangle
- Cthese are the vertices of isosceles triangle
- ✓these are collinear
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6 boys and 6 girls sit in a row at random. The probability that all the girls sit together is:
$\frac{1}{432}$
$\frac{12}{431}$
$\frac{1}{132}$
none of these.
If
$\tan\theta=3$ and $\theta$ lies in third quadrant, then the value of $\sin\theta$ is:$\frac{1}{\sqrt{10}}$
$-\frac{1}{\sqrt{10}}$
$\frac{-3}{\sqrt{10}}$
$\frac{3}{\sqrt{10}}$
If $\cos\text{x}=\frac{1}{2}\Big(\text{a}+\frac{1}{\text{a}}\Big),$ and $3\text{x}=\lambda\Big(\text{a}^3+\frac{1}{\text{a}^3}\Big),$ then $\lambda=$
$\frac{1}{4}$
$\frac{1}{2}$
$1$