A) \[\frac{3\sqrt{2}}{8}\]
B) \[\frac{2\sqrt{3}}{8}\]
C) \[\frac{3\sqrt{2}}{5}\]
D) \[\frac{\sqrt{3}}{4}\]
Correct Answer: A
Solution :
\[1=2y\frac{dy}{dx}\] \[\frac{dy}{dx}=\frac{1}{2y}=1\] \[\Rightarrow \] \[y=\frac{1}{2}\]\[\Rightarrow \] \[x=\frac{1}{4}\] shortest distance \[=\left| \frac{\frac{1}{2}-\frac{1}{4}-1}{\sqrt{2}} \right|=\frac{3}{4\sqrt{2}}=\frac{3\sqrt{2}}{8}\] Directions: Questions number 86 - 90 are Assertion- Reason type questions. Each of these questions contains two statements; Statement - 1 (Assertion) and Statement - 2 (Reason) Each of these questions also have four alternative choices, only one of which is the correct answer. You have to select the correct choice.
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