IIT JEE 1982 Maths - 'Adapted' - Subjective to Multi-Correct Q12

Calculus Level pending

For any real \(t\), \(x=\frac12(e^t+e^{-t}), \ y=\frac12(e^t-e^{-t})\) is a point on the hyperbola \(x^2-y^2=1\). The area bounded by the hyperbola and the lines joining the centre to the points corresponding to \(t_1\) and \(-t_1\) is \(A(t_1)\). Then which of the following is/are true?

  • (A) \(\lfloor A(\frac12ln2) \rfloor=0\)
  • (B) \(\lfloor A(ln4) \rfloor=2\)
  • (C) \(\lfloor A(3) \rfloor=3\)
  • (D) \(\lfloor A(4) \rfloor=2\)

Enter your answer as a 4-digit string of 1s and 9s – 1 for correct option, 9 for wrong. For example: if \(A\) and \(B\) are correct, and \(C\) and \(D\) are incorrect, enter 1199. None, one or all may also be correct.

In case you are preparing for IIT JEE, you may want to try IIT JEE 1982 Mathematics Archives.

Problem Loading...

Note Loading...

Set Loading...