1.

Show that the focal chord of the parabola y^(2)=4ax, which makes an angle alpha with the x-axis, is of length 4a cosec^(2) alpha.

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Answer :`=a{4 cot^(2) alpha +4}=4A COSEC^(2) alpha""[because t_2 +t_1 =2 cot alpha and t_1 t_2 =-1]`


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