A) \[\left( \frac{a}{{{m}^{2}}},\frac{-2a}{m} \right)\]
B) \[\left( -\frac{a}{{{m}^{2}}},-\frac{2a}{m} \right)\]
C) \[\left( -\frac{a}{{{m}^{2}}},-\frac{2a}{m} \right)\]
D) \[\left( \frac{a}{{{m}^{2}}},\frac{2a}{m} \right)\]
Correct Answer: A
Solution :
If the line\[y=mx+c,\]touches the parabola\[{{y}^{2}}=4\text{ }ax,\]then\[c=\frac{a}{m}\]and tangential point is\[\left( \frac{a}{{{m}^{2}}},\frac{-2a}{m} \right).\]
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