MCQ
If the line segment joining the points $(5, 2)$ and $(2, a)$ subtends an angle $\frac{\pi}{4}$ at the origin, then the absolute value of the product of all possible values of $a$ is :
- A6
- B8
- C2
- D4
✓
Answer
$ m _{ OA }=\frac{2}{5}$
$m_{ OB }=\frac{ a }{2}$
$\tan \frac{\pi}{4}=\left|\frac{2}{5}-\frac{a}{2}\right|$
$1=\left|\frac{4-5 a}{10+2 a}\right|$
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