Mathematics Part-II

Book: Mathematics Part-II

Chapter: 11. Three Dimensional Geometry

Subject: Maths - Class 12th

Q. No. 15 of Exercise 11.2

Listen NCERT Audio Books - Kitabein Ab Bolengi

15

Find the shortest distance between the lines

We know that

Shortest distance between the lines:


and is


…(i)


The standard form of a pair of Cartesian lines is:


and


And the given equations are: and


Comparing the given equations with the standard form, we get


x1 = -1, y1 = -1, z1 = -1; x2 = 3, y2 = 5, z2 = 7


a1 = 7, b1 = -6, c1 = 1; a2 = 1, b2 = -2, c2 = 1


Now, consider








Next, consider






From (i), we have



15

Chapter Exercises

More Exercise Questions