**CBSE NCERT Solutions For Class 11 Maths Chapter 10: **This NCERT Class 11 Maths Chapter 10 says that coordinate geometry is a combination of algebra and geometry. A systematic study of geometry by the use of algebra was first carried out by celebrated French philosopher and mathematician Rene Descartes, in his book ‘La Geometry, published in 1637. This book introduced the notion of the equation of a curve and related analytical methods into the study of geometry. The resulting combination of analysis and geometry is referred now as analytical geometry.

Solving the NCERT Solutions For Class 11 Maths Chapter 10 will teach you coordinate geometry and properties of the simplest geometric figure- straight line. Despite its simplicity, the line is a vital concept of geometry and enters into our daily experiences in numerous interesting and useful ways. The main focus is on representing the line algebraically, for which slope is most essential. Solving the Solutions for NCERT Class 11 Maths Chapter 10 will further aid in clearing any confusion you might have on this topic. We get you completely solved NCERT Solutions for Class 11 Maths Chapter 10 by the top teachers at Embibe.

## NCERT Solutions For Class 11 Maths Chapter 10: Straight Lines

The topics and sub-topics of NCERT Class 11 Maths Chapter 10 Straight Lines will assist you in your CBSE Class 11 Maths Preparation. The topics and sub-topics of this topic will aid you in preparing well for the CBSE Exam. This will also help you in understanding the topics under NCERT Class 11 Maths Chapter 10:

10.1 | Introduction |

10.2 | Slope of a Line |

10.2.1 | Slope of a Line when coordinates of any points on the line are given |

10.2.2 | Conditions for Parallelism and Perpendicularity of lines in terms of their slopes |

10.2.3 | Angle Between Two Lines |

10.2.4 | Collinearity of Three Points |

10.3 | Various Forms of the Equation of a Line |

10.3.1 | Horizontal and Vertical Lines |

10.3.2 | Point-slope Form |

10.3.3 | Two-point Form |

10.3.4 | Slope-intercept Form |

10.3.5 | Intercept-Form |

10.3.6 | Normal Form |

10.4 | General Equation of a Line |

10.4.1 | Different Forms of Ax+By+C=0 |

10.5 | Distance of a Point from a Line |

10.5.1 | Distance between Two Parallel Lines |

### NCERT Solutions For Class 11 Maths Chapter 10 PDF Download

Once you solve the NCERT Solutions for Class 11 Maths Chapter 10, you will know that every line in a plane contains infinitely many points on it. This relationship between line and points leads us to find the solution of the following problem: How can we say that a given point lies on the given line? Its answer may be that for a given line we should have a definite condition on the points lying on the line. Suppose P (x,y) is an arbitrary point in the XY-plane and L is the given line. For the equation of L, we wish to construct a statement or condition for the point P that is true, when P is on L, otherwise false. Of course the statement is merely an algebraic equation involving the variables x and y. According to the CBSE NCERT Class 11 Maths Chapter 10, sometimes a line is known to us with its slope and an intercept on one of the axes. Download and solve the Solutions for NCERT Class 11 Maths Chapter 10 PDF given below.

### NCERT Solutions For Class 11 Maths Chapter 10: Straight Lines

The slope of the horizontal line is zero and slope of vertical line is undefined. Two lines are parallel if and only if their slopes are equal. Two lines are perpendicular if and only if product of their slopes is -1. Three points A, B and C are collinear, if and only if the slope of AB=slope of BC. Equation of the horizontal line having distance from the x-axis is either y=a or y= -a. CBSE NCERT Class 11 Maths Chapter 10 Straight Lines also teaches that the equation of the vertical line having distance b from the y-axis is either x=b or x= -b. The point (x,y) lies on the line with slope m and through the fixed point (x_{0}, y_{0}), if and only if its coordinates satisfy the equation y-y_{0}=m(x-x_{0}).

NCERT Solutions for Class 11 Maths Chapter 9 |
NCERT Solutions for Class 11 Maths Chapter 11 |
NCERT Solutions for Class 11 Maths (All Chapter) |

This article on CBSE NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines will be helpful to you in clearing your doubts regarding this topic. You should also solve the NCERT Solutions for Class 11 Maths Chapter 10 PDF to have the best preparation ahead. Also, solve previous year papers and take a sufficient amount of mock tests. Taking free **JEE Main Mock Test** on Embibe will help you if you further aim to take competitive exams. The tests on Embibe are specially formulated to help you gain confidence and work on your time-management skill.

*If you have any query regarding this article on NCERT Solutions for Class 11 Maths Chapter 10, do let us know about it in the comment section below and we will get back to you soon.*