A) \[4\pi \,\,\,sq\,units\]
B) \[8\pi \,\,\,sq\,units\]
C) \[2\pi \,\,\,sq\,units\]
D) \[\pi \,\,\,sq\,units\]
Correct Answer: C
Solution :
Given, circle is \[{{x}^{2}}+{{y}^{2}}=16\] ?.(i) and line is \[y=x\] ?..(ii) On solving both equations, we get \[{{x}^{2}}+{{x}^{2}}=16\] \[\Rightarrow \] \[2{{x}^{2}}=16\,\,\,\,\Rightarrow \,\,\,\,{{x}^{2}}=8\] \[\Rightarrow \] \[x=\pm 2\sqrt{2}\] and \[y=\pm 2\sqrt{2}\] \[\therefore \] Intersection points are \[P(2\sqrt{2},2\sqrt{2})\] and \[Q(-2\sqrt{2},\,-2\sqrt{2})\]You need to login to perform this action.
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