A) \[\frac{\pi }{3}\]
B) \[\frac{\pi }{4}\]
C) \[\frac{\pi }{2}\]
D) \[\frac{\pi }{6}\]
Correct Answer: B
Solution :
The equation of the tangent at point \[(a,\,2a)\] of the parabola \[{{y}^{2}}=4ax\] is \[y{{y}_{1}}=2a(x+{{x}_{1}})\] Þ \[2ay=2a(x+a)\] Þ \[y=x+a\] This line makes an angle of \[\pi /4\]with the x-axis, as\[m=\tan \theta =1\].You need to login to perform this action.
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