Let the equation x² + y² + px + (1 - p)y + 5 = 0 represent circles of varying radius r (0, 5]. Then the number of elements in the set S = q: q = p² and q is an integer is _ _ _ _ _.

Coordinate Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Aug, Morning shift · Q27

JEE Main 202127 Aug, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

Let the equation x² + y² + px + (1

-

p)y + 5 = 0 represent circles of varying radius r

\in

(0, 5]. Then the number of elements in the set S = {q : q = p² and q is an integer} is __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 27 Aug, Morning shift · Q27

JEE Main 202127 Aug, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

Let the equation x² + y² + px + (1

-

p)y + 5 = 0 represent circles of varying radius r

\in

(0, 5]. Then the number of elements in the set S = {q : q = p² and q is an integer} is __________.

Your answerType your answer. Integers and decimals are accepted.