Let the point, on the line passing through the points P (1 ,-2 ,3 ) and Q (5 ,-4 ,7 ), farther from the origin and at distance of 9 units from the point P , be ( , , ). Then ^2+ ^2+ ^2 is equal to :

Question

Accepted Answer

Correct answer: C. (c) PQ line x-14= y+2-2= z-34 pt ⁡ (4t+1 ,-2t-2 ,4t+3 ) distance ^2=16t^2+4t^2+16t^2=81t= 32 pt ⁡ (7 ,-5 ,9 ) ^2+ ^2+ ^2=155

$Let the point, on the line passing through the points P (1, - 2, 3) and Q (5, - 4, 7), farther from the origin and at distance of 9 units from the point P , be (α, β, γ) . Then α^{2} + β^{2} + γ^{2} is equal to :$

Solution

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