NVAMediumJEE Main 2023 · 1 February, Shift 2Equation of Plane

Mathematics Question from JEE Main 2023 · 1 February, Shift 2

Let αx+βy+yz=1\alpha x + \beta y + yz = 1 be the equation of a plane passing through the point (3,2,5)(3, -2, 5) and perpendicular to the line joining the points (1,2,3)(1, 2, 3) and (2,3,5)(-2, 3, 5). Then the value of αβy\alpha \beta y is equal to _____.

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