question_answer

The curve in which the sub tangent is always bisected at the origin is

A)  A parabola     

B)  A circle

C)  A hyperbola    

D)  None of these

Correct Answer: A

Solution :

Let the equation of parabola be \[{{y}^{2}}=4ax\] Here, we see that a tangent line is passing through origin and sub tangent  is also drawn from origin and its bisect always passes through origin Hence,  option [a] is correct.