question_answer

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