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EXERCISE 8 A Q. 34
Q.34) If x = at2, y = 2at then dy/ dx at t=2 is equal to

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x = at2,
Diff.w.r.t. t we get,
dx/dt = 2at
y = 2at
Diff.w.r.t. t we get
dy/dt = 2a
now dy/dx = (dy/dt)/(dx/dt)
dy/dx = 2a/2at = 1/t
dy/dx at t = 2 = 1/2.
Answer : (a)