A) \[\pi /2\]
B) \[\pi /6\]
C) \[\pi /4\]
D) \[\pi /3\]
Correct Answer: A
Solution :
Since, \[y={{x}^{2}}-5x+6\] \[\therefore \]\[\frac{dy}{dx}=2x-5\] Now, \[{{m}_{1}}={{\left( \frac{dy}{dx} \right)}_{(2,0)}}=4-5=-1\] and \[{{m}_{2}}={{\left( \frac{dy}{dx} \right)}_{(3,0)}}=6-5=1\] Since, \[{{m}_{1}}{{m}_{2}}=-1\times 1=-1\] \[\therefore \]Angle between the tangents is \[\frac{\pi }{2}\]
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