If (1,2,−2) are the D.R’s of a line then statement-I: The D.C’s of the line are [−13,−23,23] Statement-II: The D.C’s of the line are [13,23,23] which of the above statement is correct :

I true because l2+m2+n2=1II false cos2α+cos2β+cos2γ=1125+925+cos2γ=1cos2γ=1−1025=1525=35

If (1,2,−2) are the D.R’s of a line then statement-I: The D.C’s of the line are [−13,−23,23] Statement-II: The D.C’s of the line are [13,23,23] which of the above statement is correct :

I true because l2+m2+n2=1II false cos2α+cos2β+cos2γ=1125+925+cos2γ=1cos2γ=1−1025=1525=35

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If $(1, 2, - 2)$ are the D.R’s of a line then
statement-I: The D.C’s of the line are $[\frac{- 1}{3}, \frac{- 2}{3}, \frac{2}{3}]$
Statement-II: The D.C’s of the line are $[\frac{1}{3}, \frac{2}{3}, \frac{2}{3}]$ which of the above statement is
correct :

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Neither I nor II

Only II

Both I and II

Only I

answer is A.

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I true because $l^{2} + m^{2} + n^{2} = 1$
II false $\cos^{2} α + \cos^{2} β + \cos^{2} γ = 1$
$\frac{1}{25} + \frac{9}{25} + \cos^{2} γ = 1$
$\cos^{2} γ = 1 - \frac{10}{25} = \frac{15}{25} = \frac{3}{5}$

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If (1,2,−2) are the D.R’s of a line then statement-I: The D.C’s of the line are [−13,−23,23] Statement-II: The D.C’s of the line are [13,23,23] which of the above statement is correct :

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If $(1, 2, - 2)$ are the D.R’s of a line then
statement-I: The D.C’s of the line are $[\frac{- 1}{3}, \frac{- 2}{3}, \frac{2}{3}]$
Statement-II: The D.C’s of the line are $[\frac{1}{3}, \frac{2}{3}, \frac{2}{3}]$ which of the above statement is
correct :