NVAMediumJEE Main 2023 · 6 April, Shift 1Circle Equation & Properties

Mathematics Question from JEE Main 2023 · 6 April, Shift 1

A circle passing through the point P(α,β)P(\alpha,\beta) in the first quadrant touches the two coordinate axes at the points A and B. The point PP is above the line AB. The point Q on the line segment AB is the foot of the perpendicular from PP on AB. If PQ is equal to 1111 units, then the value of αβ\alpha\beta is:

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