Question

Minimum area of circle which touches the parabola’s y² = x² + 1 and y² = x + 1 is

a. \(\frac{9\pi}{32}\) sq. unit 

b. \(\frac{\pi}{4}\) sq. unit

c. \(\frac{7\pi}{32}\) sq. unit

d. \(\frac{9\pi}{16}\) sq. unit

Answer 1

Correct option is a. \(\frac{9\pi}{32}\) sq. unit

y = x² + 1 and y² = x + 1 are symmetrical about y = x tangent at point. A and B are parallel to the line y = x