1.

The point at which the line \[y=mx+c\] touches the parabola \[{{y}^{2}}=4ax\] is              [RPET 2001]

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.            \[\left( -\frac{a}{{{m}^{2}}},\ -\frac{2a}{m} \right)\]
Answer» B.            \[\left( \frac{a}{{{m}^{2}}},\ \frac{-2a}{m} \right)\]


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