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

Q1

If the points with position vectors \(\alpha \overset{^}{i}+10\overset{^}{j}+13\overset{^}{k},\text{     }6\overset{^}{i}+11\overset{^}{j}+11\overset{^}{k}\), \(\frac{9}{2}\overset{^}{i}+\beta \overset{^}{j}−8\overset{^}{k}\) 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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