question_answer

PQ is a double ordinate of the parabola\[{{y}^{2}}=4ax\]. The locus of the points of trisection of PQ is

A)            \[9{{y}^{2}}=4ax\]                     

B)            \[9{{x}^{2}}=4ay\]

C)            \[9{{y}^{2}}+4ax=0\]                 

D)            \[9{{x}^{2}}+4ay=0\]

Correct Answer: A

Solution :

           Required locus is \[{{(3y)}^{2}}=4ax\]                    Þ \[9{{y}^{2}}=4ax\].