1.

If The tangent to the parabola \[{{y}^{2}}=ax\] makes an angle of 45o with x-axis, then the point of contact is   [RPET 1985, 90, 2003]

A.            \[\left( \frac{a}{2},\ \frac{a}{2} \right)\]                                    
B.            \[\left( \frac{a}{4},\ \frac{a}{4} \right)\]
C.            \[\left( \frac{a}{2},\ \frac{a}{4} \right)\]                                    
D.            \[\left( \frac{a}{4},\ \frac{a}{2} \right)\]
Answer» E.


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