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1)

If x=a(t1t),y=a(t+1t)   , where t is the parameter , then dydx= ?


A) yx

B) xy

C) xy

D) yx

Answer:

Option C

Explanation:

Given , x=a(t1t),y=a(t+1t)

Now,  y2x2=a2[(t+1t)2a2(t1t)2]

 = a2[t2+1t2+2t21t2+2]

  y2x2=4a2

On differentiating  both sides w.r.t 'x' , we get

    2y dydx-2x=0

    2(ydydxx)=0

     dydx=xy