If tangent at point p- with parameter t- on the curve x-4t2-3- y-8t3-1-t - R- meets the curve again at point Q- then the coordinates of Q are-

The area of the triangle formed by three points $P {a t_{1} t_{2}, a (t_{1} + t_{2})}, Q {a t_{2} t_{3}, a (t_{2} + t_{3})}, R {a t_{3} t_{1}, a (t_{3} + t_{1})}$ is _____.

If a circle and rectangular hyperbola $x y = c^{2}$ meet in the four points $t_{1}, t_{2}, t_{3} & t_{4}$ . Then which of the following statements are correct?
1. The center of the mean position of the four points bisects the distance between the center of the two curve.
2. Center of the circle through the points $t_{1}, t_{2} & t_{3}$ is: $[(\frac{c}{2} (t_{1} + t_{2} + t_{3}) + \frac{1}{t_{1} . t_{2} . t_{3}}), \frac{c}{2} (\frac{1}{t_{1}} + \frac{1}{t_{2}} + \frac{1}{t_{3}} + t_{1} t_{2} t_{3})]$

Q. Acceleration of the particle in a rectilinear motion is given as

a = 2 t - 2

(m / s^{2})

. The final position of the particle as a function of time

t

is
(Given that at

t = 0, u = 2 m / s, x = 4 m

)

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If tangent at point p, with parameter t, on the curve x=4t2+3,y=8t3−1,tϵR, meets the curve again at point Q, then the coordinates of Q are:-

If tangent at point p, with parameter t, on the curve x=4t2+3,y=8t3−1,tϵR, meets the curve again at point Q, then the coordinates of Q are:-

If tangent at point p, with parameter t, on the curve $x = 4 t^{2} + 3$ , $y = 8 t^{3} - 1, t ϵ R,$ meets the curve again at point Q, then the coordinates of Q are:-

If tangent at point p, with parameter t, on the curve $x = 4 t^{2} + 3$ , $y = 8 t^{3} - 1, t ϵ R,$ meets the curve again at point Q, then the coordinates of Q are:-