Question

The equation of normal to the curve $y=\frac{2}{x^2}$ at the point on the curve where $x=1$, is

• A. $4y-x-7=0$
• B. $y-4x+2=0$
• C. $4y+x-9=0$
• D. $y-x-1=0$
• E. $4y+x+7=0$

Answer 1

Answer: (A)

$y=\frac{2}{x^2}x=1$
$\Rightarrow y=2$
$\frac{dy}{dx}=\frac{-4}{x^3},m,=-4$
$\Rightarrow m_2=\frac{1}{4}$
$y-2=\frac{1}{4}(x-1)$
$4y-8=x-1$
$x-4y+7=0$