A) \[y=15x-58\]
B) \[y=2\]
C) \[y=x-2\]
D) \[y=\frac{9x}{4}-7\]
Correct Answer: D
Solution :
Slope \[M=\frac{dy}{dx}=\frac{dy/dt}{dx/dt}\] \[\therefore \,\,M=\frac{3{{t}^{2}}-3}{2t}\,=t=2\] \[\Rightarrow \,\,M=\frac{9}{4}\] Equation of tangent at (4, 2) is \[M=\frac{9}{4}\] \[\therefore \,\,(y-2)=\frac{9}{4}(x-4)\Rightarrow \,\,y=\frac{9}{4}x-7\]You need to login to perform this action.
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