The acute angle between the line joining the points (2,1,-3),(-3,1,7) and a line parallel to \frac{x-1}{3}=\frac{y}{4}=\frac{z+3}{5} through the point (-1,0,4) is

Correct Answer is : cos−1(75√10)

\cos ^{-1} ( {5}/{7 \sqrt{10}})

\cos ^{-1} ( {7}/{5 \sqrt{10}})

\cos ^{-1} ( {3}/{5 \sqrt{10}})

MHTCET 13 May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 85 of 150

Marks: +1, -0

The acute angle between the line joining the points (2,1,−3),(−3,1,7) and a line parallel to ‌

x−1

=‌

z+3

through the point (−1,0,4) is

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