# 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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