Question

$5\^{i}+5\hat{j}+2λ\hat{k},\hat{i}+2\hat{j}+3\hat{k},-2\hat{i}+λ\hat{j}+4\hat{k}$ and $-\hat{i}+5\hat{j}+6\hat{k}.$ Let the set S = {λ∈ $\mathbb{R}$ : The points A, B, C and D are coplanar}. Then $\displaystyle\sum_{λ∈S}^{}(λ+2)^2$ is equal to

• A. 13
• B. 25
• C. 41
• D. $\frac{37}{2}$

Answer 1

Answer: (C)

41

Answer 2

The correct option is(C): 41