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JEE MATHEMATICS MCQ: 3D GEOMETRY SYSTEM

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Application +4 | -1
Let the point, on the line passing through the points P(1,−2,3){P}(1,-2,3) and Q(5,−4,7)Q(5,-4,7), farther from the origin and at a distance of 9 units from the point PP, be (α,β,γ)(\alpha, \beta, \gamma). Then α2+β2+γ2\alpha^2+\beta^2+\gamma^2 is equal to:
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Correct option: A
155
Option D (π32\frac{\pi}{32}) is correct because, after solving the differential equation and applying the initial condition, y(2) equals π32\frac{\pi}{32}.

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