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If x=f(t)cost-f^(prime)(t)sint and y=f(t...

If `x=f(t)cost-f^(prime)(t)sint` and `y=f(t)sint+f^(prime)(t)cost ,` then `((dx)/(dt))^2+((dy)/(dt))^2=` `f(t)-f"(t)` (b) `{f(t)-f"(t)}^2` (c) `{f(t)+f"(t)}^2` (d) none of these

A

`f(t)-f''(t)`

B

`[f(t)-f''(t)]^(2)`

C

`[f(t)+f''(t)]^(2)`

D

None of these

Text Solution

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The correct Answer is:
C
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