The axis of a parabola is the line y = x and its vertex and focus are in the first quadrant at distances √(2) and 2√(2) from the origin, respectively. If the point (1, k) lies on the parabola, then a possible value of k is:

Coordinate Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q107

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumCoordinate Geometry478× since 2002

The axis of a parabola is the line

y = x

and its vertex and focus are in the first quadrant at distances

\sqrt{2}

and

2\sqrt{2}

from the origin, respectively. If the point

(1, k)

lies on the parabola, then a possible value of

k

is: