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Straight Lines — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsStraight Lines1 Mark
MCQ
Find the equation perpendicular to $2x - y = 4$ and pass through $(2, 4):$
  • A
    $2x + y - 10 = 0$
  • B
    $x + 2y + 10 = 0$
  • ✓
    $x + 2y - 10 = 0$
  • D
    $x + y - 10 = 0$
✓

Answer

Correct option: C.
$x + 2y - 10 = 0$
Line $2x - y = 4$ has slope $2$.
Line perpendicular to given line has slope $\frac{-1}{2}$
equation is $(\text{y}-4) = \big(\frac{-1}{2}\big) (\text{x}-2)$
$2y - 8 = -x + 2$
$\Rightarrow x + 2y - 10 = 0$

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