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Coordinate Geometry Class 10th Notes - Free NCERT Class 10 Maths Chapter 7 Notes - Download PDF

Coordinate Geometry Class 10th Notes - Free NCERT Class 10 Maths Chapter 7 Notes - Download PDF

Edited By Safeer PP | Updated on Mar 19, 2022 12:15 PM IST

Coordinate geometry is the NCERT chapter which deals with distance formula. The NCERT Class 10 Maths chapter 7 notes covers an outline of the chapter coordinate geometry. The main topics covered in coordinate geometry Class 10 notes are section formulae, abscissa and ordinates. Class 10 Maths chapter 7 notes includes FAQ or frequently asked questions about the chapter. These topics can also be downloaded from the Coordinate Geometry Class 10 notes pdf download option.

This Story also Contains
  1. Cartesian Coordinate System
  2. Distance From Origin
  3. Section Formula
  4. Midpoint Formula
  5. Area of a Triangle
  6. Centroid of a Triangle
  7. Significance of NCERT Class 10 Maths Chapter 7 Notes
  8. Class 10 Chapter Wise Notes
  9. NCERT Solutions of Cass 10 Subject Wise
  10. NCERT Class 10 Exemplar Solutions for Other Subjects:

Also, students can refer,

Cartesian Coordinate System

In the Cartesian coordinate system, two number lines that are perpendicular to each other,, the x-axis (horizontal) and y-axis (vertical) represents the two variables. These two perpendicular lines are called the coordinate axis.

  • The intersection point of these two lines is known as the center or the origin of the coordinate plane. Its coordinates are (0,0).

  • Point on this coordinate plane is represented by an ordered pair of numbers. Let (a, b) be an ordered pair then a is the x-coordinate and b is the y-coordinate.

  • The distance of any point from the y-axis is called x-coordinate or abscissa and the distance of any point from the x-axis is called y-coordinate or ordinate.

  • The Cartesian plane has four quadrants I, II, III and IV.

Cartesian Coordinate System

  • Equation of a Straight Line

An equation of line is used to plot a graph of that line on a cartesian plane.

Slope intercept form

y = mx +b

Where, m is the slope of the line, b = y-intercept.

m=change in ychange in x

Equation of a Straight Line

Distance formula

The distance between two points A(x1,y1) and B(x2,y2) is calculated by the formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}


Distance formula

Distance From Origin

To find the distance of any point from the origin, one point is P(x,y) and the other point is the origin itself, which is O(0,0). According to the above distance formula, it will be:

OP=\sqrt{x^2+y^2}


Section Formula

Let F(x, y) is any point on the line segment AB, that divides AB in the ratio of m: n, then the coordinates of the point F(x, y) will be:

x=(mx2+nx1)/(m+n) and

y=(my2+ny1)/m+n

then the coordinates of the point P(x, y) will be

Midpoint Formula

If F(x, y) is the mid-point of the line segment AB, that divides AB in the ratio of 1:1, then the coordinates of the point F(x, y) will be:

x=(x2+x1)/2 and y=(y2+y1)/2

Area of a Triangle

Area of a triangle

Area of triangle ABC = Area of trapezium ABQP + Area of trapezium APRC – Area of trapezium BQRC.

Area of a trapezium=12(sum of parallel sides) (distance between them)

Therefore,

Area of ABC

=0.5[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]

When the area of the triangle is zero then the given three points must be collinear.

Centroid of a Triangle

The point where all the three medians of the triangle meet with each other, is known as the centroid of a triangle

Centroid of a Triangle

The coordinates of the centroid are :

X=(X1+X2+X3)/3, y=(y1+y2+y3)/3

No.

Figures made of four points

Prove

1.

Square

Four sides are equal and the diagonals are also equal.

2.

Rhombus

Four sides are equal.

3.

Rhombus but not square

Four sides are equal and the diagonals are not equal.

4.

Rectangle

Opposite sides are equal and the diagonals are equal.

5.

Parallelogram

Opposite sides are equal.

6.

Parallelogram but not a rectangle

Opposite sides are equal but the diagonals are not equal.


No.

Figures made of three points

Prove

1.

Scalene triangle

None of its sides are equal.

2.

Isosceles triangle

Any two sides are equal.

3.

Equilateral triangle

All three sides are equal.

4.

Right triangle

The sum of the squares of any two sides is equal to the square of the third side.

Significance of NCERT Class 10 Maths Chapter 7 Notes

Coordinate Geometry Class 10 notes will help to understand the formulas, statements, rules in detail.

This NCERT Class 10 Maths chapter 7 notes also contains previous year’s questions and NCERT TextBook pdf. It contains FAQ’s or frequently asked questions along with the topic-wise explanation

In offline mode, Class 10 Maths chapter 7 notes pdf download can be used to prepare.

Class 10 Chapter Wise Notes

NCERT Solutions of Cass 10 Subject Wise

NCERT Class 10 Exemplar Solutions for Other Subjects:

NCERT Books for Class 10
NCERT Syllabus for Class 10

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