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  • If t is the parameter for one end of a focal chord of the parabola <img alt="y^{2}= 4ax," src=

If t is the parameter for one end of a focal chord of the parabola y^{2}= 4ax, then its length is

Option: 1

a\left ( t+\frac{1}{t} \right )^{2}
 


Option: 2

a\left ( t-\frac{1}{t} \right )^{2}


Option: 3

a\left ( t+\frac{1}{t} \right )

 


Option: 4

a\left ( t-\frac{1}{t} \right )


Answers (1)

best_answer

As we learned

Focal chord -

The chord of parabola passing through the focus.

- wherein

 

 

Ift,t 'are the ends of focal chord of parabola

y^{2}= 4ax, then \: its \: length = a\left ( {t}' -t\right )^{2}

For  a focal chord, we have the condition that

t{t}'= -1\\*\therefore {t}'= -\frac{1}{t}\\*Required\: length = a\left ( -\frac{1}{t} -t\right )^{2}= a\left ( t+\frac{1}{t} \right )^{2}

Posted by

vishal kumar

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