A) \[\left( \frac{-{{a}^{2}}}{c},{{a}^{2}} \right)\]
B) \[\left( \frac{{{a}^{2}}}{c},\frac{-{{a}^{2}}m}{c} \right)\]
C) \[\left( \frac{-{{a}^{2}}m}{c},\frac{{{a}^{2}}}{c} \right)\]
D) \[\left( \frac{-{{a}^{2}}c}{m},\frac{{{a}^{2}}}{m} \right)\]
Correct Answer: C
Solution :
Find points of intersection by simultaneously solving for x and y from \[y=mx+c\] and \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] which comes out as \[\left( -\frac{{{a}^{2}}m}{c},\ \frac{{{a}^{2}}}{c} \right)\].
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