![]() So, the endpoint of an angle #x# has positive abscissa (X-coordinate) and negative ordinate (Y-coordinate), which puts it into 4th quadrant. Since #cot(x)=cos(x)/sin(x) 0#, #sin(x)# must be negative, which means that ordinate of a position of the endpoint of an angle #x# is negative. Since #sec(x)=1/cos(x)>0#, #cos(x)>0#, which means that abscissa of a position of the endpoint of an angle #x# is positive. The same arrangement as above for #cos(x)#, but in this case the ordinate (Y-coordinate) of the point #A# is, by definition, #sin(x)#. Then the abscissa (X-coordinate) of the point #A# is, by definition, #cos(x)#.įinally, recall the definition of a trigonometric function #sin(x)#: ![]() We call this the third quadrant, once again using Roman numerals. Recall the definition of a trigonometric function #cos(x)#:Ĭonsider a unit circle around the origin of coordinate #O# and a point #A# on this circle such that an angle from the positive direction of the X-axis #OX# counterclockwise to a ray #OA# equals to #x# (usually, radians). Then we go down here where both the x-values are negative and the y-values are negative. Recall the definition of a trigonometric function #cot(x)#: Recall the definition of a trigonometric function #sec(x)#: Here is why.įirst of all, let's recall a few definitions. L d.The endpoint of an angle #x# lies in the 4th quadrant. 3.2, the point identified by the coordinates (–5, 3) is a. In Quadrant I, both the x and y-coordinates are positive in Quadrant II, the x-coordinate is negative, but the y-coordinate is positive in Quadrant III. The points whose abscissa and ordinate have different signs will lie in a.Abscissa of a point is positive in I and IV quadrants In the Cartesian plane, the horizontal line is called the x-axis and the vertical line is called the y-axis. NCERT Exemplar Class 9 Maths Exercise 3.1 Problem 17 Abscissa of a point is positive in a. For example the points all these points lie in the Quadrant II. That is Abscissa is negative and ordinate is positive. A rectangular coordinates system as follows. ☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 3 The abscissa is positive and the ordinate is positive means in an ordered pair the first coordinate x is called abscissa and y is called ordinate. Therefore, the abscissa of a point is positive in I and IV quadrants. The abscissa is positive in the I and IV quadrant This diagram will help to identify the quadrants where the abscissa and the ordinate are positive or negative. Draw a diagram which shows all the different quadrants on the coordinate axes. We know that the signs of the coordinates are Answer Verified 233k + views Hint: First, start by defining what a quadrant and abscissa is. So, a sign of abscissa of a point is negative and a sign of ordinate of a. ![]() Ordinate is the distance of point from x axis scaled with y axisīoth abscissa and ordinate are together known as coordinates Answer: (C) In the second quadrant, X-axis is negative and Y-axis is positive. Lastly, Quadrant IV has positive abscissa. Quadrant III is both negative abscissa and negative ordinate. The first coordinate x is called the abscissa while the second coordinate is called the ordinateĪbscissa is the distance of point from y axis scaled with x axis Quadrant II has negative abscissa and positive ordinate. In the coordinate (x, y) is used to denote the point in the cartesian plane
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