A) 2
B) \[\frac{{{y}^{2}}}{2}\]
C) \[2{{y}^{2}}\]
D) \[\frac{1}{2}\]
Correct Answer: A
Solution :
Length of subnormal\[=y\frac{dy}{dx}\] Given, \[{{y}^{2}}=4x\] On differentiating w.r.t.\[x,\] \[2y\frac{dy}{dx}=4\] \[\Rightarrow \] \[y\frac{dy}{dx}=2\] Hence, the length of subnormal at any point of\[{{y}^{2}}=4x\]is 2.
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