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If the tangent at a point P with paramet...

If the tangent at a point `P` with parameter `t`, on the curve `x=4t^2+3`, `y=8t^3-1` `t in R` meets the curve again at a point Q, then the coordinates of Q are

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`x=4t^2+3`
dif. with respect to t
`y=8t^2-1`
difff. wih respect to t
`dy/dx=(dy/dt)*(dx/dt)=(24t^2)/(8t)=3t`
`(y-y_1)=(8t)*(x-x_1)`
`9-(8t_1^3-1)-3t_1{n-t_1^2-3}`
`8t^3-1-8t_1^3+1=3t_1{4t^2+3-4t_1^2-3}`
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