IIT JEE 1982 Maths - 'Adapted' - Subjective to Multi-Correct Q8

Calculus Level 3

Let \(f\) be a twice differentiable function and \(g, h\) be some functions, such that \(f''(x)=-f(x), f'(x)=g(x), h(x)=[f(x)]^2+[g(x)]^2, h(5)=11\). Then which of the following is/are not incorrect?

  • (A) h(10)=11
  • (B) h'(10)=0
  • (C) h(0)=5
  • (D) h'(0)=-2

Enter your answer as a 4 digit string of 1s and 9s - 1 for correct option, 9 for wrong. Eg. 1199 indicates A and B are correct, C and D are incorrect. None, one or all may also be correct.


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