A) (0, 2)
B) \[\left( \frac{3}{4},4 \right)\]
C) (2, 5)
D) (7, 6)
E) (6, 7)
Correct Answer: E
Solution :
Curve,\[y=2+\sqrt{4x+1}\]has slope 2/5. Differentiating w.r.t.\[x,\] \[\frac{dy}{dx}=\frac{2}{\sqrt{4x+1}}=\frac{2}{5}\] \[\left( \because \frac{dy}{dx}=\frac{2}{5} \right)\] \[\Rightarrow \] \[5=\sqrt{4x+1}\] \[\Rightarrow \] \[25=4x+1\] \[\Rightarrow \] \[x=6\] and \[y=2+\sqrt{25}=2+5\] \[\Rightarrow \] \[y=7\] Thus, the required point is (6, 7).You need to login to perform this action.
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