# NCERT Solutions Class 11 Maths Chapter 12 Exercise 12.3 Introduction to Three Dimensional Geometry

NCERT Solutions for Class 11 maths Chapter 12 exercise 12.3 Introduction To Three Dimensional Geometry uses algebraic equations with input from the three-dimensional coordinate geometry to find out the coordinates of the point which divides a line segment in a certain ratio. The NCERT solutions Class 11 maths Chapter 12 exercise 12.3 has five questions, out of which 3 questions require short answers while the remaining 2 are long answer type questions.

We make use of the section formula to find out the coordinates of a point that divides a line between two given coordinates in a specified ratio. The section formula takes a more simplified form when the ratio in which the point divides the line is 1:1, that is the point is mid-way between two coordinates. If the two co-ordinates are (x_{1},y_{1},z_{1}) and (x_{2}, y_{2}, z_{2}), then the co-ordinate of the middle point as per the section formula would be [(x_{1}+x_{2})/2, (y_{1}+y_{2})/2, (z_{1}+z_{2})/2].

The Class 11 maths NCERT solutions Chapter 12 exercise 12.2 Introduction To Three Dimensional Geometry in a scrollable PDF format is given below :

**ā** Download NCERT Solutions Class 11 Maths Chapter 12 Exercise 12.3

**Exercise 12.3 Class 11 Chapter 12 **

### More Exercises in Class 11 Maths Chapter 12

- NCERT Solutions Class 11 Maths Chapter 12 Ex 12.1
- NCERT Solutions Class 11 Maths Chapter 12 Ex 12.2
- NCERT Solutions Class 11 Maths Chapter 12 Miscellaneous Exercise

## NCERT Solutions Class 11 Maths Chapter 12 Exercise 12.3 Tips

NCERT solutions Class 11 maths Chapter 12 exercise 12.3 Introduction To Three Dimensional Geometry helps us to combine the power of algebra with co-ordinate geometry and understand the geometrical shapes and patterns better. The line between points is much more relatable once we look at the derivation of the section formula.

NCERT solutions Class 11 maths Chapter 12 exercise 12.3 helps to practice ratios and substitute values into the equations to derive information. Once the students have done some practice on the application of the section formula, then it is easy to apply the concept and find out information like the centroid of a triangle or the midpoint of a line segment.

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