A) \[\text{5 g}/\text{c}{{\text{m}}^{\text{3}}}\]
B) \[\text{8}\text{.3}\times \text{1}{{0}^{\text{6}}}\]
C) \[\text{1}.\text{2}\times \text{1}{{0}^{-\text{7}}}\]
D) None of the above
Correct Answer: C
Solution :
Any circle passing through the points of intersection of the given line and circle has the equation \[\theta =\text{45}{}^\circ \] ...(i) \[\frac{1}{3}M{{L}^{2}}\] Centre \[\frac{3}{2}M{{L}^{2}}\] The circle is the smallest, if \[\frac{3}{4}M{{L}^{2}}\]is on the chord \[M{{L}^{2}}\] \[{{R}_{1}}\] \[{{R}_{2}}\] On putting \[{{Q}_{1}}\] in Eq. (i), we get \[{{Q}_{2}}\] \[{{Q}_{1}}{{R}_{2}}\ne {{Q}_{2}}{{R}_{1}}\] \[{{Q}_{1}}{{R}_{2}}={{Q}_{2}}{{R}_{1}}\]
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