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NCERT Solutions for Class 10 Maths Exercise | myCBSEguide | CBSE Papers & NCERT Solutions

In this exercise of coordinate geometry, questions are based on distance formula. Move Class 10 Maths Chapter 7 main page for other exercises whether download or ch 7 maths class 10 ex 7.1 test study.

In this exercise, we have to find the distance between two points using distance formula and then it will be applied on different questions as per requirement like to prove Co-linear points, isosceles or teet triangle, type of quadrilateral on the basis of length of sides.

For what value of P, mwths points 2,1p,�1 and �1,3 are collinear? Find the ratio in which y-axis divides the line segment joining the points A 5,�6 and Tezt �1, �4.

Find the ratio in which x-axis divides the line segment joining the points 6,4 and 1,�7. The midpoints of the sides of a triangle are 3,44,1 and 2,0. Find the vertices of the triangle. Find the value of x if the points A 4,3 and B x,5 lie on maghs circle whose centre is O 2,3. Show that the points �2,38,3 and 6,7 are ch 7 maths class 10 ex 7.1 test vertices of a right angle triangle.

Find the point of trisection of the line segment joining the points 1,�2 and �3,4. Find the point on the y-axis which is equidistant from clas points 5,�2 and �3,2.

Find the co-ordinates of a centroid of a triangle whose vertices are 3,�5�7,4 and 10,�2. Download Offline Apps and Solutions for offline use. Class 10 Maths Exercise 7. Exercise 7.

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It can be in different forms like bar graphs, histograms, line graphs, etc. Terms Related to Coordinate Geometry.

While studying coordinate geometry the students must be aware of some important terms related to coordinate geometry they are well explained in this chapter. From this figure, let us understand some important terms used in the coordinate formula of geometry. Axes of Coordinates. In the above figure OX and OY are called X-axis and Y-axis respectively and both together are known as axes of coordinates.

The point of intersection of the axes is called the origin; it is O. The distance of any point on the plane from the Y-axis is called the abscissa. The distance of any point on the plane from the X-axis is said to be ordinate. Coordinate of the Origin.

It has zero distance from both the axes. Therefore the coordinates of the origin are 0, 0. The axes divide the plane into four parts. These four parts are said to be quadrants. The plane is called the coordinate plane or the XY-plane and the axes are called the coordinate axes.

In the first quadrant, both the coordinates are positive. In the second quadrant, the y-coordinate is positive and x-coordinate is negative. In the third quadrant, both the coordinates are negative. In the fourth quadrant, the y-coordinate is negative and the x-coordinate is positive. Distance Formula. In chapter 7 Maths Class 10 we learn about distance formulas for finding distance between two points. Finding the distance between the two points by using formula when the two coordinates of the points are given.

Section Formula. Section formula helps us in finding the coordinates of the point dividing the line in the ratio m:n. If P is the point dividing the line AB in the ratio m:n where coordinates of A x 1 , y 1 and B x 2 , y 2. Area of Triangle. It will let us find the area of any triangle in terms of coordinates of its vertices. This formula will also be used in finding the area of quadrilaterals.

All the basic formulas of coordinate geometry will help you to solve your geometry and algebra problems. Chapter 7 maths Class 10 provides you the list of all formulas of coordinate geometry to solve all the related problems. General Form of a Line. Where A , B, C are real numbers and x and y are variables. Slope Intercept Form of a Line. Where x and y are variables, c is constant and m is the slope.

Point-Slope Form. The slope of a Line Using Coordinates. The slope of a Line Using General Equation. Intercept-Intercept Form. Distance between two points O x 1, y 1 and B x 2, y 2. For Parallel Lines,. For Perpendicular Lines,. Angle between Two Lines. Area of a Triangle.

Perpendicular Distance from a Point to a Line. It is very important to get acquainted with these basic formulas of coordinate geometry. Chapter 7 Maths Class 10 coordinate formulas have been proven very helpful for students to solve the problems at a competitive level. Historical Facts. Rene Descartes, the Great French Mathematician of the seventeenth century, liked to lie in bed and think. One day, when lying in the bed he solved the problem of describing the position of a point in a plane.

His method was based on the old concept of latitude and longitude. Rene Descartes , a French Mathematician, came up with a system known as the cartesian coordinate system to describe the positions of points and lines in a plane.

His latin name was Renatius Cartesius, hence the name cartesian plane was derived. He was referred to as the father of analytical geometry. Through cartesian coordinate or rectangular coordinate system, we can study the problems involving both geometry and algebra,. Cartesian geometry is also termed as analytic geometry. Today it is strongly believed that success comes from regular practice.

Intelligence also sometimes fails if not practiced. Maths needs a regular practice for perfection. Some people think Maths as a very tough subject, but if they have a regular practice of solving the problems they can crack any problem. Regular practice reduces the silly mistakes done during the examinations. Practising lots of problems makes you aware of all the possible questions related to any topic.

It makes it easier to solve any problem during your final exams. NCERT syllabus is designed according to the caliber of the students.

Practicing NCERT problems after understanding the concept makes the students more confident in that area. Practicing not only improves your conceptual Byjus Class 6 Maths Sample Paper Test understanding but also improves your logical reasoning. Understanding the concept thoroughly and then solving the NCERT question will definitely increase your score in examinations.

Improves your accuracy. Makes the concepts more clear. Increases your speed. It improves your logical reasoning. It makes you more confident in a particular area. Vedantu is a team of expert teaching professionals. Vedantu always tries to make the learning of any concept at the student level easy to understand.

It explains the concept stepwise and more precisely along with the pictorial representation of the concept. Vedantu is a strong believer to impart quality education to students. NCERT solutions are given in simple language with alternate solutions and diagrammatic representation for easy understanding of the problem.

Along with these Vedantu tries to make the learning fun by lowering the pressure of studies. The solutions are divided into parts so that they can be easily understood by the students. The explanation is given in stepwise format. All the solutions are given at the student's level of understanding. The solutions are precise, brief and with relevant diagrams. They are given in proper stepwise format along with the necessary comments.

The solutions are properly formatted to reduce the unnecessary burden of lengthy solutions. Vedantu is a No. It also has the potential to help you score more in the examination. Vedantu tries their level best to provide quality education, by providing NCERT solutions for coordinate geometry Class It also provides more practice questions for bringing the perfection in the concepts.

And they will be very helpful in the examination. Keep this Vedantu NCERT solution handy so that there will be no inconvenience during your study of coordinate geometry. Why is Coordinate Geometry Important? Coordinate geometry helps you to locate the exact location of a point in a plane. What values are being promoted here? A dealer wishes to purchase a number of fans and Ch 7 Maths Class 10 Ex 7.1 Ipv6 sewing machines.

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