IIT JEE 1982 Maths - 'Adapted' - Subjective to Multi-Correct Q16

Calculus Level 4

The shortest distance between the point \((0, c)\) and the parabola \(y=x^2\) is \(d\). Then \((c, d)\) cannot be

  • A: \(\ \left(\frac1{8}, \frac1{8}\right)\)
  • B: \(\ \left(\frac3{8}, \frac3{8}\right)\)
  • C: \(\ \left(\frac5{8}, \frac5{8}\right)\)
  • D: \(\ \left(\frac7{8}, \frac7{8}\right)\)

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

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