The derivative of the function represented parametrically as `x=2t=|t|,y=t^3+t^2|t|a tt=0` is a. -1 b. 1 c. 0 d. does not exist

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

If y = f(x) defined parametrically by x = 2t - |t - 1| and y = 2t^(2) + t|t| , then

From the point (1,1) tangents are drawn to the curve represented parametrically as x=2t-t^(2)and y=t+t^(2). Find the possible points of contact.

Let y = f(x) be defined parametrically as y = t^(2) + t|t|, x = 2t - |t|, t in R . Then, at x = 0,find f(x) and discuss continuity.

Area enclosed by the curve y=f(x) defined parametrically as x=(1-t^2)/(1+t^2), y=(2t)/(1+t^2) is equal

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).

The second derivative of a single valued function parametrically represented by x=phi(t) and y=psi(t) (where phi(t) and psi(t) are different function and phi'(t)ne0) is given by

A curve is represented parametrically by the equations x=f(t)=a^(In(b^t))and y=g(t)=b^(-In(a^(t)))a,bgt0 and a ne 1, b ne 1" Where "t in R. The value of (d^(2)y)/(dx^(2)) at the point where f(t)=g(t) is

The equation of the normal to the curve parametrically represented by x=t^(2)+3t-8 and y=2t^(2)-2t-5 at the point P(2,-1) is