RB 12 Maths

RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5

RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5

Rajasthan Board RBSE Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5

Question 1.
Find the shortest distance between the lines

RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5
Solution:
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5

Question 2.
Find the shortest distance between the lines
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5
Solution:
Minimum distance between the lines
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5

Question 3.
Find the shortest distance between the lines, whose vector equations are
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5
Solution:
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5

Question 4.
Find the shortest distance between the lines, whose vector equations are
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5
Solution:
Comparing the line
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5

Question 5.
Find the shortest distance between the lines,
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5
Also, find the equation of line with shortest distance.
Solution:
Given lines are
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5
RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.5

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