Class 9 Math Chapter 9 Question Answer
Handwritten and composed notes Class 9 Math Chapter 9 Question Answer Introduction to Coordinate Geometry of Chapter No.9: Introduction to Coordinate Geometry Notes written by Professor Asad Khalid Suib. These notes are very helpful in the preparation of Introduction to Coordinate Geometry for the students of mathematics Science group of the (9 class) Matriculation and these are according to the paper patterns of all Punjab boards.
Summary and Contents:
Topics which are discussed in the notes are given below:
- Important notes of Class 9 Math Chapter 9 Question Answer for Matriculation part-I students.
- Complete Multiple Choice Questions (MCQs) of Chapter No.9: Introduction to Coordinate Geometry 9th class Mathematics Science group in English medium.
- Complete Chapter exercise wise solved questions of Chapter No.9: Introduction to Coordinate Geometry 9th class Mathematics Science group in English medium.
- Complete Chapter review exercise questions of Chapter No.9: Introduction to Coordinate Geometry 9th class Mathematics Science group in English medium.
- Important definitions Asking in board question papers of Chapter No.9: Introduction to Coordinate Geometry 9th class Mathematics Science group in English medium.
- Here are the detailed 9th class math chapter 9 question answer pdf to help you prepare for your exams.
- Define coordinate geometry.
- Derive distance formula to calculate distance between two points
given in Cartesian plane.
- Use distance formula to find distance between two given points.
- Define collinear points. Distinguish between collinear and
non-collinear points.
- Use distance formula to show that given three (or more) points are
collinear
- Use distance formula to show that the given three non-collinear
points form: (i) An equilateral triangle, (ii) An isosceles triangle, (iii) A right angled triangle, (iv) a scalene triangle.
- Use distance formula to show that given four non-collinear points
form: (i) A square, (ii) A rectangle, (iii) A parallelogram.
- Recognize the formula to find the midpoint of the line joining two
given points.
- Apply distance and mid-point formulae to solve/verify different
standard results related to geometry.
- You can also download the 9th class math chapter 9 question answer pdf download for free.
- Distance Formula: Coordinate Geomety: The study of geometrical shapes in a plane is called plane geometry. Coordinate geometry is the study of geometrical shapes
in the Cartesian plane (coordinate plane). We know that a plane is
divided into four quadrants by two perpendicular lines called the axes intersecting at Origin. We have also seen that there is one to one
correspondence between the points of the plane and the ordered
pairs in R x R.
- Finding Distance between two points; Let P ( x1, y1 ) and Q ( x2, y2 ) two points in the coordinate
plane where d is the length of the
line segment PQ. i.e. ,|PQ| = d. The line segments MQ and LP
parallel to y-axis meet x-axis at
points M and L, respectively with
coordinates M ( x2, 0 ) and L( x1, 0 )The line-segment PN is parallel to x-axis.
- In the right trianglePNQ, |NQ| = |y2 – y1| and |PN| = |X2 – X1| Using Pythagoras Theorem
- Collinear Points:
- Collinear or Non-collinear Points in the Plane: Two or more than two points which lies on the same straight line are called collinear points with, respect to that line; other wise they
are called non-collinear.
- Let m be a line, then all the points on line m are collinear. In the given figure, the points P and Q are collinear with respect to the line m and the points P and R are not collinear with respect to it.
- Use of Distance Formula to show the Collinearity of
Three or more Points in the Plane:
- Let P, Q and R be three points in the plane. They are called collinear if |PQ| + |QR| = |PR| , otherwise will be non colliner.
- Example: Using distance formula show that the points , (i) P ( −2, −1 ), Q ( 0, 3 ) and R ( 1, 5 ) are collinear. (ii) The above points P, Q, R and S ( 1, −1 ) are not collinear.