Let C be the circle of minimum area touching the parabola y = 6 − x 2 and the lines y = 3 ∣ x ∣ . Then, which one of the following points lies on the circle C ?

Question

Let C be the circle of minimum area touching the parabola y = 6 − x 2 and the lines y = 3 ​ ∣ x ∣ . Then, which one of the following points lies on the circle C ?

TestHub · Accepted Answer

Equation of circle x 2 + ( y − ( 6 − r ) ) 2 = r 2 touches 3 ​ x − y = 0 ​ p = r 2 ∣0 − ( 6 − r ) ∣ ​ = r ∣ r − 6∣ = 2 r r = 2 ​ ∴ Circle x 2 + ( y − 4 ) 2 = 4 ( 2 , 4 ) Satisfies this equation

Mathematics - Circle Question with Solution | TestHub

Options:

Doubts & Discussion