NCERT Class 10 maths exercise 7.4 Question no.1
Class 10 Exercise 7.4 -Q1.Determine the ratio in which the line 2x + y – 4 = 0, divides the line segment joining the points A(2,-2) and B(3,7).
Let the point of intersection of the given line 2x + y – 4 = 0 and the line segment joining the points A(2,-2) and B(3,7) is (x,y).
Let the point of intersection C(x,y) of line with the line segment AB divides the line segment AB in the ratio of m : n
Applying the section formula
Where k = m : n
We are given the A(2,-2) =(x1,y1) and B(3,7) = (x2,y2)
Putting the value x1=2, x2= 3, y1= -2, y2=7
Since the point C(x,y) lies in the line 2x + y – 4 = 0, so its co-ordinates (x,y) must satisfy the equation of line.
Therefore putting the value of
In the given equation 2x + y – 4 = 0, we have
Therefore the ratio by which the line divides the line segment is 2 : 9
Click for online shopping
You can study in this site NCERT solutions of maths and science from class 9 to 12, science and maths special notes, carrier-related articles, preparation of government entrance exams, online jobs, etc. We are needed your comments for improving ourselves, so without any hesitation, you can suggest to us whatever improvement you think we should do in our writings, you are free to make a contact with us through the WhatsApp-7303064710
Other related questions
Q1. Determine the coordinates of the point of intersection of a line 2x + y – 4 = 0 and the line segment joining the points (2,-2) and (3,7) divides the line segment into 2: 9.
Q2.In which ratio the line 3x + 2y -k+3 = 0, divides the line segment joining the points (3,5) and (-3,-4) if the line is passing through the origin.
Q3.If a line 2x +3 = y is passing through ( 2, a) , find the ratio the line divides the line segment joining the points (5,-2) and (3,4).
Q4.Find the ratio in which the line segment joining the points (-3,10) and (6,-8) divided by (-1,6).
Q5.Find the ratio in which the line segment joining the points (1,-5) and (-4,5) divided by the x-axis. Also, find the coordinates of the point of division.
Q6.Find the ratio in which the y-axis divides the line segment joining the points (5,-6) and (-1,-4). Also, find the point of intersection.
Q7.In what ratio does the point (-4,6) divides the line segment joining the points A(-6,10) and B(3,-8).
Q8.Find the coordinates of the point which divides the line segment joining the points (4,-3) and (8,5) in the ratio 3: 1 internally.
Important maths notes
You can also study
You can compensate us
Paytm number 9891436286
The money collected by us will be used for the education of poor students who leaves their study because of a lack of money.
NCERT Solutions of Science and Maths for Class 9,10,11 and 12
NCERT Solutions for class 9 maths
NCERT Solutions for class 9 science
NCERT Solutions for class 10 maths
NCERT Solutions for Class 10 Science
NCERT Solutions for class 11 maths
|Chapter 1-Sets||Chapter 9-Sequences and Series|
|Chapter 2- Relations and functions||Chapter 10- Straight Lines|
|Chapter 3- Trigonometry||Chapter 11-Conic Sections|
|Chapter 4-Principle of mathematical induction||Chapter 12-Introduction to three Dimensional Geometry|
|Chapter 5-Complex numbers||Chapter 13- Limits and Derivatives|
|Chapter 6- Linear Inequalities||Chapter 14-Mathematical Reasoning|
|Chapter 7- Permutations and Combinations||Chapter 15- Statistics|
|Chapter 8- Binomial Theorem||Chapter 16- Probability|
NCERT solutions for class 12 maths
|Chapter 1-Relations and Functions||Chapter 9-Differential Equations|
|Chapter 2-Inverse Trigonometric Functions||Chapter 10-Vector Algebra|
|Chapter 3-Matrices||Chapter 11 – Three Dimensional Geometry|
|Chapter 4-Determinants||Chapter 12-Linear Programming|
|Chapter 5- Continuity and Differentiability||Chapter 13-Probability|
|Chapter 6- Application of Derivation||CBSE Class 12- Question paper of maths 2021 with solutions|
|Chapter 7- Integrals|
|Chapter 8-Application of Integrals|