The focus of the conic represented parametrically by the equation `y=t^(2)+3, x= 2t-1`is

Find the equation of tangent to the curve reprsented parametrically by the equations x=t^(2)+3t+1and y=2t^(2)+3t-4 at the point M (-1,10).

A function is represented parametrically by the equations x=(1+t)/(t^3),y=3/(2t^2)+2/t then (dy)/(dx) -x ((dy)/(dx))^3 has the absolute value of equal to

A function is reprersented parametrically by the equations x=(1+t)/(t^3); y=3/(2t^2)+2/t then the value of |(dy)/(dx)-x((dy)/(dx))^3| is__________

A function is reprersented parametrically by the equations x=(1+t)/(t^3); y=3/(2t^2)+2/t then the value of (dy)/(dx)-x((dy)/(dx))^3 is__________

If a function is represented parametrically by the equations x=(1+log_(e)t)/(t^2),y =(3+2log_et)/(t) , then which of the following statement are true ?

A function is represented parametrically by the equations x=(1+t)/(t^3);\ \ y=3/(2t^2)+2/t then (dy)/(dx)-x((dy)/(dx))^3 has the value equal to (a) 2 (b) 0 (c) -1 (d) -2

If a curve is represented parametrically by the equation x=f(t) and y=g(t)" then prove that "(d^(2)y)/(dx^(2))=-[(g'(t))/(f'(t))]^(3)((d^(2)x)/(dy^(2)))

If a curve is represented parametrically by the equation x=f(t) and y=g(t)" then prove that "(d^(2)y)/(dx^(2))=-[(g'(t))/(f'(t))]^(3)((d^(2)x)/(dy^(2)))

If a curve is represented parametrically by the equation x=f(t) and y=g(t)" then prove that "(d^(2)y)/(dx^(2))=-[(g'(t))/(f'(t))]^(3)((d^(2)x)/(dy^(2)))

If a curve is represented parametrically by the equation x=f(t) and y=g(t)" then prove that "(d^(2)y)/(dx^(2))=-[(g'(t))/(f'(t))]^(3)((d^(2)x)/(dy^(2)))