question_answer

The normal at the point \[(bt_{1}^{2},\ 2b{{t}_{1}})\] on a parabola meets the parabola again in the point \[(bt_{2}^{2},\ 2b{{t}_{2}})\], then [MNR 1986; RPET 2003; AIEEE 2003]

A)            \[{{t}_{2}}=-{{t}_{1}}-\frac{2}{{{t}_{1}}}\]                                    

B)            \[{{t}_{2}}=-{{t}_{1}}+\frac{2}{{{t}_{1}}}\]

C)            \[{{t}_{2}}={{t}_{1}}-\frac{2}{{{t}_{1}}}\]                                     

D)            \[{{t}_{2}}={{t}_{1}}+\frac{2}{{{t}_{1}}}\]