A) \[(a,0)\]
B) \[(-a,0)\]
C) \[\left( \frac{a}{2},\frac{\sqrt{3}}{2}a \right)\]
D) \[(0,a)\]
E) \[(0,{{a}^{2}})\]
Correct Answer: D
Solution :
Given curve is \[{{x}^{2}}+{{y}^{2}}={{a}^{2}},y\ge 0\] ?. (i) \[\Rightarrow \] \[2x+2y\frac{dy}{dx}=0\] (Differentiating w.r.t.\[x\]on both sides) \[\Rightarrow \] \[\frac{dy}{dx}=-\frac{x}{y}\] \[\because \]The tangent is parallel to\[x-\]axis. \[\therefore \] \[\frac{dy}{dx}=0\] \[\Rightarrow \] \[x=0\] Putting\[x=0\]in Eq. (i), we get \[{{y}^{2}}={{a}^{2}}\] \[\Rightarrow \] \[y=\pm a\] \[\therefore \]Required point \[=(0,\text{ }a)\]
You need to login to perform this action.
You will be redirected in
3 sec
