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STD 11 - 9. straight line — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 9. straight line4 Marks
MCQ
If image of point $P\left( {\lambda ,\,2\lambda } \right)$ in the line mirror $x -y + 2 = 0$ is $\left( {\mu ,\,3\lambda } \right)$ , then choose the correct option
  • A
    $\mu  - \lambda  = 0$
  • ✓
    $\lambda  + \mu  = 1$
  • C
    $\lambda  - \mu  =  - 1$
  • D
    $\lambda  + \mu  = 0$
✓

Answer

Correct option: B.
$\lambda  + \mu  = 1$
b
$\frac{\lambda+\mu}{2}-\frac{5 \lambda}{2}+2=0$

$\mu-4 \lambda+4=0$         ..........$(1)$

and $\mathrm{m}_{\mathrm{PQ}}=\frac{\lambda}{\mu-\lambda}=-1$

$\Rightarrow \quad \mu=0 \quad$ and $\quad \lambda=1$

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