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Find the distance between the points : `(at_1^2 , 2at_1) and (at_2^2 , 2at_2)`

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We have, `A=(at_1^2 , 2at_1)` and `B=(at_2^2 , 2at_2)` Distance ` AB=sqrt((x_2-x_1)+(y_2-y_1)^2)`
`AB=sqrt((at_2 ^​2−at_1​^2)^2+(2at_2​−2at_1​)^2)`
​ ⇒`AB=sqrt(a^2(t_2​−t_1​)^2(t_2​+t_1​)^2+4a^2(t_2​−t_1​)^2`
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