" (c) "x=at^(2),y=2at," जहाँ "t" चर है। "

Which of the following points lie on the parabola x^2=4a y ? a. x=a t^2, y=2a t b. x=2a t ,\ y=a t^2 c. x=2a t^2, y=a t d. x=2a t ,\ y=a t^2

If x=2t+3t^(2),y=t^(2)+2t^(3)," then: "(y_(1))^(2)+2(y_(1))^(3)=

यदि x^(y)=y^(x) [जहाँ x ne y ] का हल है -

Differentiate w.r.t. time. (i) y=t^(2) " " (ii) x=t^(3//2)" " (iii) y=(1)/(sqrt(t)) (iv) x=4t^(3) " " (v) y=2sqrt(t) " " (vi) y=2t^(2)+t-1 (vii) y=3sqrt(t)+(2)/(sqrt(t)) (viii) y=t^(3)sin t " " (ix) x=te^(t) (x) x= sqrt(t)(1-t)

Which of the following curves in the x -y plane cuts every straight line in the plane? (1) x=t,y=t^(2) and (2)x=t,y=t^(3) and (3) x=t^(2),y=t^(3) and x=t^(3),y=t^(5)

If x=a t^2,\ \ y=2\ a t , then (d^2y)/(dx^2)= -1/(t^2) (b) 1/(2\ a t^3) (c) -1/(t^3) (d) -1/(2\ a t^3)

If x=a t^2,\ \ y=2\ a t , then (d^2y)/(dx^2)= -1/(t^2) (b) 1/(2\ a t^3) (c) -1/(t^3) (d) -1/(2\ a t^3)

If x=ct, y = c/t , find dy/dx at t = 2

If f (x,y) =x ^(2) + xy+y ^(2),x =t ,y=t ^(2) then (df )/(dt)=