## NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Exercise 7.1 - FREE PDF Download

NCERT Solutions For Class 10 Maths Chapter 7 Exercise 7.1 - Coordinate Geometry

## FAQs on NCERT Solutions For Class 10 Maths Chapter 7 Exercise 7.1 - Coordinate Geometry

1. What will I learn in this chapter?

Coordinate Geometry of NCERT Class 10 Maths syllabus will teach you how to find the distance between points with the given coordinates and you shall learn about points on a cartesian plane, distance formula, section formula, midpoint, points of trisection, the centroid of a triangle and areas from coordinates. NCERT Solutions for Class 10 Maths Chapter 7 consist of 4 exercises which have 33 questions and they cover all the topics from the chapter. These solutions are also drafted in a step by step way to make it easy for the students. In NCERT Class 10 Maths Chapter 7, you will be taught about the distance between the two points from the given coordinates. You shall see how the area of the triangle is formed with the three given points.

2. Explain about the area of a triangle, polygon and the centroid of a triangle.

**Area of a Triangle: **

In this part of Coordinate Geometry from Class 10 Maths Chapter 7 of NCERT Solutions, you will be solving the questions based on the below-mentioned formula.

Area of a trapezium = ½ (Sum of parallel sides) (distance between them)

**The Centroid of a Triangle:**

In this section of Coordinate Geometry of Class 10 Maths, you will be learning about what is the centroid of a triangle and why the three medians of the triangle meet are known as the centroid of a triangle.

**Area of a Polygon:**

In this segment of NCERT CBSE Class 10 Maths Chapter 7, you will be learning how to find the area of a polygon with the help of all the vertices of the polygon.

Formula: A = ½ (x_{1}y_{2} - y_{1}x_{2}) + (x_{2}y_{3} - y_{2}x_{3}) + …. + (x_{n}y_{1} - y_{n}x_{1})

3. Give a brief overview of the distance from the origin.

Distance from Origin:

Here, in NCERT Solutions for Class 10 Maths Chapter 7, you will have to find the distance from the origin to the given point, and the given point is also the origin.

Section Formula:

In Coordinate Geometry of NCERT Solutions for Class 10th Maths Chapter 7, you will be given points on the line segment and that line segment will be divided equally in a particular ratio and you will have to find the coordinate points.

Midpoint Formula:

Here in Coordinate Geometry of NCERT Solutions for Class 10 Maths, you will be learning how to find the coordinate points of a given midpoint of the line segment.

4. How do I increase my ranks with Vedantu’s study guide?

You can improve your grades with our help. We at Vedantu have a team of experts who understand the academic needs and requirements of students. The study material provided by Vedantu is crafted as per the latest syllabus and is made available to everybody through our online portal.

Our solutions and study guide are designed by our subject-matter experts in a step by step way for easy and better understanding of the concept. We made sure that CBSE and NCERT guidelines are strictly followed while drafting these solutions. All the topics are explained in detail to make it more clear for you.

5. How many questions are there in Exercise 7.1 of Chapter 7 of Class 10 Maths?

Exercise 7.1 of Chapter 7 of Class 10 Maths consists of 10 questions in total. These questions are very well explained in detailed steps in NCERT solutions from Vedantu which will help the student to learn the concept of the chapter with full understanding. The practice from the solutions will give them confidence. Complex problems are made easy so that the students will not be demotivated.

6. What is Coordinate Geometry according to Chapter 7 of Class 10?

Coordinate geometry may be defined as a study of geometry with the help of a coordinate system. It is a section of geometry using which the positions of given points on a plane can be defined by a particular pair of numbers referred to as coordinates. Coordinate geometry is an important chapter and students have to learn it properly by paying full attention in class and also practise the chapter as much as possible.

These solutions are available on Vedantu's official website(vedantu.com) and mobile app free of cost.

7. What is the Distance Formula?

The distance formula in the chapter is used to find the distance between the two points in the plane of XY. The distance of the point from the Y-axis is called the X-coordinate and the distance from the X-axis is called the Y-coordinate. The point on the X-axis is(x,0) and the point in the Y-axis is(0, y). To find the distance on the plane the theorem of Pythagoras is used in an important chapter in Class 10.

The distance formula is PQ =√[(x2 – x1)2 + (y2 – y1)2]

Distance = √[(x2 – x1)2 + (y2 – y1)2

8. What are Collinear Points?

Collinear points refer to three or more than three points lying on a line. So, when they join and extend, it forms one straight line. In case the points aren't collinear, they will make a triangle when joined together. This word is derived from a Latin word Col+Linear. Col means together and linear means a straight line. These concepts have to be clear to solve any type of numericals connected with the chapter.

9. What are the different formulas for finding Collinear Points?

The three different formulas are the Distance formula, Slope formula and Area Of A Triangle.If A, B and C are the collinear points then AB+BC=AC

We know the distance between the point (x1,y1)and (x2,y2)

Distance =√(X2-X1)2+(Y2--Y1)2

The slope formula is used to measure the steepness of the line.

m=(X2-X1)/(Y2--Y1)

For triangle area can be found by

(1/2) | [x1(y2 – y3) + x2(y3 – y1) + x3[y1 – y2]| = 0

10. What is covered in Class 10 Chapter 7 Exercise 7.1 of Maths: Coordinate Geometry?

Class 10 Maths Exercise 7.1 Solutions focuses on the basics of coordinate geometry, including understanding the Cartesian plane, plotting points, and using the distance formula to find the distance between two points.

11. What are the four quadrants of the Cartesian plane in exercise 7.1 class 10th?

Following are the points for class 10 ch 7 maths ex 7.1:

Quadrant I: Both x and y coordinates are positive (top-right).

Quadrant II: x is negative, y is positive (top-left).

Quadrant III: Both x and y coordinates are negative (bottom-left).

Quadrant IV: x is positive, y is negative (bottom-right).

12. What are some common mistakes to avoid when solving problems in Class 10th maths chapter 7 exercise 7.1?

Coordinate Geometry Class 10 Exercise 7.1 gives:

Incorrectly plotting points: Ensure accuracy when locating points on the Cartesian plane.

Sign errors in the distance formula: Pay close attention to the signs of the coordinates when subtracting.

Arithmetic mistakes: Double-check calculations, especially when squaring numbers and taking square roots.

13. Why is the distance formula important in class 10 ch 7 maths ex 7.1?

The distance formula is crucial in coordinate geometry as it allows you to determine the distance between any two points in the plane, which is fundamental for solving various geometric problems and understanding the relationships between points.