The angle between the pair of lines \frac{x+3}{3}=\frac{y-1}{5}=\frac{z+3}{4} and \frac{x+1}{1}=\frac{y-4}{4}=\frac{z-5}{2} is

Correct Answer is : θ=cos−1315√42

\theta=\cos ^{-1}[\frac{27}{5}]

\theta=\cos ^{-1}[\frac{19}{21}]

\theta=\cos ^{-1}[\frac{8 \sqrt{3}{15}]

\theta=\cos ^{-1}[\frac{5 \sqrt{3}{16}]

\theta=\cos ^{-1} \frac{31}{5 \sqrt{42}

KCET 2022 Math Solved Paper

Question : 46 of 60

Marks: +1, -0

The angle between the pair of lines ‌

x+3

=‌

y−1

=‌

z+3

and ‌

x+1

=‌

y−4

=‌

z−5

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