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The point which lies on the y-axis at a distance of 2.5 units in the positive direction of the y-axis isĮxplanation: Coordinates of any point on y-axis is (0, y). So, x can take any value but the ordinate will always be 0.ġ2. Ordinate of all the points on the x-axis isĮxplanation: Coordinates of any point on x-axis is (x, 0). In 2 nd quadrant y is positive and x isġ1. See below figure and answer the following questionsĮxplanation: The x -coordinate of point B (2, -3) is =2ġ0. If a point is in 4 th quadrant, then the point will be in the form A point whose x coordinate and y coordinate is zero is known asĥ. The x-coordinate of a point is also calledĢ. MCQ Questions for Class 9 Maths with AnswersĬoordinate Geometry Class 9 MCQ Questionsġ. MCQ Questions for Class 9 with Answers have been made for Class 9 students to help check the concept you have learnt from detailed classroom sessions and application of your knowledge. Answers to MCQ on Coordinate Geometry Class 9 are available after clicking on the answer. Coordinate Geometry Class 9 MCQ Test contains 20 questions. Q((2 x 4 + 1 x (-5)/2 + 1, (2x(-3) +1 x 6/1 + 2)) i.e.Coordinate Geometry Class 9 MCQ Questions – Maths Class 9 MCQ Online Test are covered in this Article. Let P and Q be the points of trisection of AB. X = ((-5) + 7)/2 =1 and y = ((4 + (-8)) = -2Įxample 2: Find the coordinates of the points of trisection of the line segment joining the points A(-5, 6) and B(4, -3)? The coordinates of the point P(x, y) which divides the line segment joining A(x1, y1) and B(x2, y2) internally in the ratio m:n are given byĮxample 1: Find the coordinates of the midpoint of the line segment joining the points A(-5, 4) and B(7,-8)? Let P(6, -6) be the given point and O(0, 0) be the origin. :Įxample 2: Find the distance of the point P(6, -6) from the origin? The given points are P(-4, 7) and Q(2, -5). OP = √(x² + y²) ExamplesĮxample 1: Find the distance between the points P(-4, 7) and Q(2, -5)? The distance of the point P(x, y) from the origin O(0, 0) is given The distance between two points A(x1, y1) and B(x2, y2) is given by We have x = rcosθ y = rsinθ Hence tanθ = y/x and x 2 + y 2 = r 2Х These relations enable us to change from one system of coordinates to the other. Let P be the point (x, y) with reference to rectangular axes OX, OY, and the point (r, θ) with reference to the pole O and initial line OX. The Relation Between Cartesian and Polar Coordinates OX is called the initial line and O the pole. r is called the radius vector, the vectorial angle, and (r, θ) is the polar coordinates of the point P, which is briefly referred to as the point (r, θ). Then, if r is the length of OP, the position of P is known when r and θ are known. Let 0 be the angle through which a line rotates in moving from OX to the position OP. Let OX be a given line and P be any point in a given plane. MP is the x-coordinate, called the abscissa, and NP is the y-coordinate called the ordinate of P. X’OX, Y’OY is known as the coordinate axes. Let P be a point in a plane draw two perpendicular lines X’OX, Y’OY in the plane, and draw PM, PN parallel to OX, OY respectively. Abscissa & Ordinate: The position of a point is completely determined with reference to these axes by means of an ordered pair of real numbers (x, y) called the coordinates of P where | x | and | y | are the distances of the point P from the y-axis and the x-axis respectively, x is called the x-coordinate or the abscissa of P and y is called the y-coordinate or the ordinate of the point P.Origin: Through a point O, referred to as the origin, we take two mutually perpendicular lines XOX’ and YOY’, and call them x and y axes respectively.Arithmetic Progression - Common difference and Nth term | Class 10 Maths.Area of a Triangle - Coordinate Geometry | Class 10 Maths.Chemical Indicators - Definition, Types, Examples.Class 10 RD Sharma Solutions- Chapter 2 Polynomials - Exercise 2.1 | Set 2.Euclid's Division Algorithm - Real Numbers | Class 10 Maths.Electric Potential and Potential Difference.Step deviation Method for Finding the Mean with Examples.Theorem - The tangent at any point of a circle is perpendicular to the radius through the point of contact - Circles | Class 10 Maths.Section formula – Internal and External Division | Coordinate Geometry.ISRO CS Syllabus for Scientist/Engineer Exam.ISRO CS Original Papers and Official Keys.GATE CS Original Papers and Official Keys.