Strengthen your preparation for the CBSE Class 10 Board Exams with this guide on CBSE Class 10 Mathematics Chapter 7 Important Questions - Coordinate Geometry. Explore key concepts like physical and chemical properties, reactivity series, and practical applications to excel in exams confidently.
Here are 50 important questions on Cbse Class 10 Mathematics Chapter 7 Important Questions - Coordinate Geometry
These questions cover various aspects of Coordinate Geometry, including their properties, reactions, uses, and applications as presented in the document provided, ensuring comprehensive coverage of key topics within this chapter on Coordinate Geometry.
The chapter “Coordinate Geometry” in Class 10 Science explores the fundamental properties, reactivity, and applications of Coordinate Geometry. Below is a detailed explanation of the key topics covered in this chapter based on class 10 maths syllabus:
Coordinate Geometry is the study of geometry using a coordinate system. It involves the representation of geometric figures in a coordinate plane using a set of coordinates. In two-dimensional geometry, the coordinates are expressed as pairs of numbers (x,y), where:
The Cartesian coordinate system consists of two perpendicular axes:
The intersection of these axes is called the origin (0, 0). Points on the plane are described by coordinates (x,y).
A linear equation in two variables has the general form:
ax + by + c = 0
Where:
The graph of a linear equation is a straight line. Some special cases are:
In Metals and Non-Metals, students learn to distinguish between the physical and chemical properties of metals and non-metals, along with their reactivity series.
Mastering these concepts is essential for tackling questions in the CBSE Class 10 Board Exams.
Focusing on CBSE Class 10 Science Chapter 3 Important Questions - Metals and Non-Metals and reviewing related sample papers will enhance understanding and exam performance. Consistent revision and well-organized notes are key to acing this chapter.
Chapter 1 Chemical Reactions And Equations
Chapter 2 Acids, Bases, And Salts
Chapter 3 Metals And Non-Metals
Chapter 4 Carbon and its compounds
Chapter 6 Control And Coordination
Chapter 7 How Do Organisms Reproduce?
Chapter 8 Heredity And Evolution
Chapter 9 Light – Reflection And Refraction
Chapter 10 The Human Eye And The Colourful World
Chapter 12 Magnetic Effects Of Electric Current
Also Refer:
Below are some of the frequently asked question on the topic Coordinate Geometry class 10 maths:
The distance formula is used to calculate the straight-line distance between two points (x_{1}, y_{1}) and (x_{2}, y_{2}) It is derived from the Pythagorean theorem and is given by d = sqrt((x_{2} - x_{1}) ^ 2 + (y_{2} - y_{1}) ^ 2)
The Section Formula is used to find the coordinates of a point that divides a line segment joining two points in a given ratio. For internal division, the coordinates are given by: x = (m*x_{2} + n*x_{1})/(m + n) y = (m*y_{2} + n*y_{1})/(m + n)
The equation of a straight line is typically written in the form ax + by + c = 0 where a, b, and c are constants. It can also be written in slope-intercept form y = mx + c where m is the slope and c is the y-intercept.
The midpoint formula is used to find the midpoint of a line segment joining two points (x1, y1) and (x2, y2) The midpoint M has the coordinates: M = ((x1 + x2)/2, (y2 + y2) /2)
The coordinate system allows the representation of geometric figures in a two-dimensional plane, making it easier to solve problems involving distance, area, and angles. It also provides a way to model real-world situations in mathematics.