Mathematics Part-II

Book: Mathematics Part-II

Chapter: 11. Three Dimensional Geometry

Subject: Maths - Class 12th

Q. No. 14 of Exercise 11.2

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14

Find the shortest distance between the lines

We know that

Shortest distance between two lines and is


…(i)


Here, , and


,


Now,


…(ii)


Now,



……….(iii)


……….(iv)


Now,


……….(v)


Now, using (i), we have


The shortest distance between the two lines, d [From (iv) and (v)]



Rationalizing the fraction by multiplying the numerator and denominator by √2,



14

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