Let the centre of a circle, passing through the points (0,0),(1,0) and touching the circle x²+y²=9, be (h, k). Then for all possible values of the coordinates of the centre (h, k), 4(h²+k²) is equal to _ _ _ _ _.

Coordinate Geometry: JEE Main 2024 Mathematics question

JEE Main 2024 · 9 Apr, Morning shift · Q27

JEE Main 20249 Apr, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

Let the centre of a circle, passing through the points

(0,0),(1,0)

and touching the circle

x^2+y^2=9

, be

(h, k)

. Then for all possible values of the coordinates of the centre

(h, k), 4\left(h^2+k^2\right)

is equal to __________.

Your answerType your answer. Integers and decimals are accepted.