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If the points with position vectors \(\alpha \hat{i}+10\hat{j}+13\hat{k},\text{ }6\hat{i}+11\hat{j}+11\hat{k}\), \(\frac…

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If the points with position vectors \(\alpha \hat{i}+10\hat{j}+13\hat{k},\text{     }6\hat{i}+11\hat{j}+11\hat{k}\), \(\frac{9}{2}\hat{i}+\beta \hat{j}−8\hat{k}\) are collinear, then (19α – 6β)2 is equal to

[JEE Main 2023, 08 Apr (Shift 1)]

a

36

b

25

c

49

d

16

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