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1983

JEE Main 1983 Mathematics question on Circles

The centre of the circle passing through the point (0, 1) and touching the curve y=x2y = x^2 at (2, 4) is
  1. A.
    (−165,2710)\left(-\dfrac{16}{5}, \dfrac{27}{10}\right)
  2. B.
    (−167,5310)\left(-\dfrac{16}{7}, \dfrac{53}{10}\right)
  3. C.
    (−165,5310)\left(-\dfrac{16}{5}, \dfrac{53}{10}\right)
  4. D.
    None of the above
Show answer

Correct option: C

[1983]

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