Coordinate Geometry - Short Revision || CBSE Class 10 Mathematics || Infinity Learn Class 9&10 | Summary and Q&A

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February 19, 2023
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Infinity Learn NEET
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Coordinate Geometry - Short Revision || CBSE Class 10 Mathematics || Infinity Learn Class 9&10

TL;DR

Solving multiple-choice questions in coordinate geometry, covering topics such as graphing equations, finding ratios using section formula, calculating areas, and finding distances between lines and points.

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Key Insights

  • 📈 Graphing linear equations facilitates finding the area enclosed between the graph and coordinate axes.
  • 🫥 The section formula is utilized to find the ratio of division of a line segment by a given line.
  • 😑 Joining the diagonals of a parallelogram provides a method for finding the value of an expression.
  • 🫥 Distance between parallel lines can be found by determining the distance between any two points on the lines.
  • 😥 The distance formula is employed to calculate the distance between two given points.

Transcript

hello everybody we are over here with some mcqs in the chapter coordinate geometry so let's start with it we have to find the area in close between the graph of this equation and the coordinate axis so when you make the graph of this equation what will you get over here guys C uh basically you need the coordinates of two points over here right in o... Read More

Questions & Answers

Q: How is the area between a linear equation's graph and coordinate axes calculated?

The area can be found by determining the coordinates of the intersection points between the graph and the axes. Using those coordinates, the area can be calculated as half the base times the height, resulting in 36 square units in the given example.

Q: How is the ratio in which a line divides a line segment calculated?

The section formula is used to find the ratio of division. By finding the coordinates of the intersection point using the section formula, the required ratio can be obtained, with 6:5 as the ratio for the given example.

Q: How is the value of an expression, such as 3x - 5y, found in a parallelogram?

To find the value of the expression, the diagonals of the parallelogram are joined. The point of intersection is determined using the midpoint formula, which allows the calculation of the desired expression. In the given example, the value of 3x - 5y is 0.

Q: How is the distance between two parallel lines calculated?

The distance between parallel lines can be found by determining the distance between any two points on the lines. In the given example, the distance between the lines x = -2 and x = 8 is 10 units.

Q: How is the distance between two given points calculated?

The distance formula is used to find the distance between two points. By substituting the coordinates of the points in the formula and simplifying, the distance can be obtained. In the example given, the distance between the points (13sinX, 0) and (0, 13cosX) is 13 units.

Summary & Key Takeaways

  • The content focuses on solving MCQs in coordinate geometry, starting with finding the area enclosed between a graph and coordinate axes using basic graphing techniques.

  • It then moves on to finding ratios using the section formula, where the coordinates of the intersection point between a line segment and a given line equation are calculated.

  • Next, the concept of joining diagonals of a parallelogram to find the value of an expression is illustrated.

  • Finally, the distance between parallel lines and the distance between two given points are solved using the distance formula.

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