A) \[y=2x\]
B) \[y=2x-10\]
C) \[y=2x+10\]
D) \[y=2x-12\]
Correct Answer: D
Solution :
Given, equation of parabola is \[{{y}^{2}}=4x.\] Here \[a=1\] Equation of line is \[y=2x-5.\] Slope \[m=2\] Since, normal is parallel to line. \[\therefore \]Slope of normal\[=2\] \[\therefore \]Equation of normal is \[y=mx-2am-{{m}^{3}}\] \[\Rightarrow \] \[y=2x-2.1.2-{{(2)}^{3}}\] \[\Rightarrow \] \[y=2x-4-8\] \[\Rightarrow \] \[y=2x-12\]You need to login to perform this action.
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