Differentiation & Applications · JEE Main previous year questions

2002 2 questions

1. Q252002 · 27 Apr 2002 · Shift 1

   The maximum distance from origin of a point on the curve $x=a\sin t-b\sin \left(\frac{at}{b}\right)$ $y=a\cos t-b\cos \left(\frac{at}{b}\right)$, both $a,b>0$ is

   1. A.$a-b$
   2. B.$a+b$
   3. C.$\sqrt{a^2+b^2}$
   4. D.$\sqrt{a^2-b^2}$
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   Answer: B

2. Q512002 · 27 Apr 2002 · Shift 1

   If $f(x+y)=f(x).f(y)\forall$ x, y and f(5) = 2, f'(0) = 3, then f'(5) is

   1. A.0
   2. B.1
   3. C.6
   4. D.2
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   Answer: C