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Maths Question 23 – JEE-MAIN 2026

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Let a line L1 pass through the origin and be perpendicular to the lines L2:r→=(3+t)i^+(2t−1)j^+(2t+4)k^ and L3:r→=(3+2s)i^+(3+2s)j^+(2+s)k^, t,s∈R. If (a,b,c), a∈Z, is the point on L3 at a distance of 17 from the point of intersection of L1 and L2, then (a+b+c)2 is equal to _______.
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