Every point on the x-axis is at a distance o unit from the X-axis. So its ordinate is 0. Every point on the y-axis is at a distance of unit from the Y-axis. So, its abscissa is 0. Note : Any point lying on or Y-axis does not lie in any quadrant. Section - A Q.1 On which axes do the given points lie? If two points have equal abscissae then they lie on a straight line parallel to the y-axis. Their abscissa determines how far the straight line is from the y-axis. If their abscissae are positive [say points A (4,6) and B (4,-8)] then the straight line lies on the right side of y-axis and at a distance equal to the common abscissa (here 4). In mathematics, the abscissa (/ or abscissas) and the ordinate are respectively the first and second coordinate of a point in a coordinate system: . Abscissa ≡-axis (horizontal) coordinate ordinate ≡-axis (vertical) coordinate. Usually these are the horizontal and vertical coordinates of a point in a two-dimensional rectangular Cartesian In what quadrants would a point lie if its abscissa and ordinate are numerically equal but of opposite signs? 7. Where would a point lie if its abscissa is 5? If its ordinate is -4? 8. What can be said of points with equal abscissas? With equal ordinates? 9. Draw the triangle whose vertices are (-1, 1), (3, …
Let two points be (a, b) and (a, c). If abscissa is same = a. And ordinate is different then all such points will lie on a line parallel to Y- axis because value of X-intercept . I.E. Abscissa … The printable worksheets in this page cover identifying quadrants, axes, identifying ordered pairs, coordinates, plotting points on coordinate plane and other fun worksheet pdfs to reinforce the knowledge in ordered pairs. Also contains mystery pictures, moving points using position and direction, identifying shapes and more. Recall: Two curves have contact of order ‚ k at a point whose abscissa is x0 if [6, p. 297] the diﬀerence of their ordinates at the point whose abscissa is x0 +h vanishes to a higher order than the k-th power of h. Geometrically, this implies that the osculating parabola (if it exists at all) separates the An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair. Points on the X axis have a y-coordinate of 0. Points on the Y axis have an x-coordinate of 0. The most powerful property of the Cartesian System is that using this, any point in the plane can be uniquely labeled: One Dimension. On a line, points can be labeled using just one real number. Two Dimensions. In a plane, points can be labeled
Step-by-step explanation: 1 Answer. (d) The points whose abscissa and ordinate have different signs will be of the form (-x, y) or (x, – y)and these points will lie in II and IV quadrants. As shown in graph that a point whose abscissa and ordinate are. And . Respectively lies in the fourth quadrant. Thus the correct answer is (d). Q5... Let the points . And. Having the same abscissa but different ordinates be shown in the graph given below: Fig: (location of two considered points) And these points lie on a line parallel to y All those points whose ordinate is zero lie on the x-axis, therefore (5, 0) lie on the x-axis. 3. On which axis does the point (0, 4) lie? Sol. All those points whose abscissa is zero lies on the y-axis. 4. The ordinate of a point is negative in which quadrants? Sol. The ordinate of a point is negative in III and IV quadrant. 5. You may come across the terms "axis of ordinates" and "axis of abscissae". The ordinate simply refers to the vertical portion of an ordered pair, that is, the y axis. The abscissae refers to the horizontal part of a coordinate, this is, the x axis. Quadrants . A Cartesian plane's x and y … 32. Find the equation of a curve passing through the point (1, 1). If the tangent drawn at any point P(x, y) on the curve meets the co-ordinate axes at A and B such that P is the mid-point of AB. Objective Type Questions. 60. Family y = Ax + A3 of curves will correspond to a differential equation of order , (a) 3 (b) 2 (c) 1 (d) not defined. 62.
A line is Drawn through the point (1,2) to meet the coordinate axes at P and Q such that it asked Oct 22, 2018 in Mathematics by AnjaliVarma ( 29.3k points) coordinate geometry The point whose ordinate is 4 and which lies on y-axis is (a) (4, 0) (b) (0, 4) (c) (1, 4) (d) (4, 2) 5. The points in which abscissa and ordinate have different signs will lie in (a) I and II quadrants (b) II and III quadrants (c) I and III quadrants (d) II and IV quadrants 6. Abscissa of the all the points on y – axis is: (a) 0 (b) 1 (c) –1 (d) any number 5. Ordinate of the all the points on y – axis is: (a) 0 (b) 1 (c) –1 (d) any number 6. A point both of whose coordinates are negative will lie in: (a) I quadrant (b) II quadrant (c) x – axis (d) y – axis 7. A point both of whose … The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin. We can use the coordinate plane to graph points… For the point -1.5,-2.5, -1.5 is the abscissa and -2.5 is the ordinate. Don’t forget that the first point you get will always be on the X portion of the graph, and the second number will always be the Y. Ordinate and Abcissa: Other Definitions and Uses. While Ordinate and Abscissa are generally used to describe the first and second points in Question 1. A point (other than zero) is such that [The abscissa of the point] = [The ordinate of the point] In which quadrants can the point lie? Solution: ∵ The coordinates have opposite signs in II and IV quadrants. ∴ the given point lies in I or III quadrant. Question 2. A line ∠M is drawn parallel to X-axis at a distance of 5 units Abscissa of the point (ignoring the negative sign),i.E., 6. (3) Y and W Step 1 We know that a point lying on the x-axis will have the ordinate as 0 and a point lying on the y-axis will have the abscissa as 0. Step 2 We can see that out of all the points Y and W have the ordinate zero, which means points Y and W will lie on the x-axis. (4) (9,0 Q.5 The points in which abscissa and ordinate have different signs will lie in (a) I and II quadrants (c) II and III quadrants (c ) I and III quadrants (d) II and IV quadrants Q.4 Line y = 7 is parallel to _____ axis (a) X axis (b) y axis (c) both (d) None of these Q. 5 Ordinate of all points on the x-axis is CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The four-point subdivision scheme is well known as an interpolating subdivision scheme, but it has recently come to our notice that it is but the first scheme in a family all of whose members have the property that if all the control points lie equally spaced along the same cubic polynomial, the limit curve is exactly Points on the X axis have a y-coordinate of 0. Points on the Y axis have an x-coordinate of 0. The most powerful property of the Cartesian System is that using this, any point in the plane can be uniquely labeled: One Dimension. On a line, points can be labeled using just one real number. Two Dimensions. In a plane, points can be labeled A point on the y —axis has zero distance from y-axis so coordinate of any point on the y-axis will be (0, Y) The axes divide the Cartesian plane in to four parts. These Four parts are called the quadrants. The coordinates of the points in the four quadrants will have sign according to the below table