IIT JEE 1983 Maths - MCQ Question 21

Geometry Level 4

The center of the circle passing through the point ( 0 , 1 ) (0, 1) and touching the parabola y = x 2 y=x^2 at ( 2 , 4 ) (2, 4) is _______ . \text{\_\_\_\_\_\_\_}.

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( 16 5 , 27 10 ) \left(\frac{16}5, \frac{27}{10}\right) None of the others ( − 16 5 , 53 10 ) \left(\frac{-16}5, \frac{53}{10}\right) ( − 16 7 , 53 10 ) \left(\frac{-16}7, \frac{53}{10}\right)

Shubhamkar Ayare by Shubhamkar Ayare , 22, India

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