MCQ
A tangent is drawn to the parabola $y^{2}=6 x$ which is perpendicular to the line $2 x + y =1$ Which of the following points does $NOT$ lie on it ?
- A$(-6,0)$
- B$(4,5)$
- ✓$(5,4)$
- D$(0,3)$
So, $m(-2)=-1 \Rightarrow m=\frac{1}{2}$
Equation : $y = mx +\frac{ a }{ m }$
$\Rightarrow y=\frac{1}{2} x+\frac{3}{2 \times \frac{1}{2}}\left(a=\frac{6}{4}=\frac{3}{2}\right)$
$\Rightarrow y=\frac{x}{2}+3$
$\Rightarrow 2 y=x+6$
Point $(5,4)$ will not lie on it
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