finding abscissa


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Question 3
Question: (a) Plot a point P on the graph paper whose abscissa is 4 and ordinate is 3. (b) Plot a point Q on the graph paper whose abscissa is -3 and ordinate is -2.5. (c) Plot a point R on the graph paper whose abscissa is zero and ordinate is 4. (d) Plot a point..
Question 4
image Question: A point is equidistant from A (-6, 4) and B (2, -8). Find its co-ordinates, if its abscissa and ordinate are equal. [2 Mark] Answer: Let P be the point which is equidistant from A and B. Since the abscissa and ordinates are equal, let (x, x) b..
Rectangular co - ordinates
The position of the point P in a plane in the rectangular co-ordinate system is determined as follows: Draw PA and PB perpendicular to XX' and YY'. The segment OA = a measures the distance along the x-axis (the x-coordinate and the perpendicular distance AP = OB = b ( parallel to y - axis) measu..
Equation of a line parallel to y-axis:
Let LM be a straight line parallel to y-axis at a distance k from the y-axis. Then, the abscissa (the x-coordinate), x=k. Hence, the equation of the line parallel to y-axis is x = k. ..
Summary
Two types of graphical representation of data are the histogram and the ogive. A histogram is a diagram which represents the class interval and frequency in the form of a rectangle. When the class intervals are unequal, each rectangle is constructed with the class interval as the base and t..
Statistics: Graphical Representation Summary
Summary - Two types of graphical representation of data are the histogram and the ogive. A histogram is a diagram which represents the class interval and frequency in the form of a rectangle. When the class intervals are unequal, each rectangle is constructed with the class interval as the base and..
Co-ordinates
The position of a point with respect to the rectangular axes by means of a pair of numbers is called co-ordinates. The distance OM of point P along x-axis is called x-co-ordinate or abscissa. The distance ON of point P along y-axis is called ordinate or y-co-ordinate. If OM=a and ON=b the..
Applications of Definite Integrals
Let y = f (x) be a curve. The area bounded by y = f (x), x-axis and the ordinates at x = a and x = b is given byLet y = f (x) be a curve. The area bounded by y = f (x), x-axis and the ordinates at x = a and x = b is given by (ii) The area bounded by the curve x = f (y) y = axis and the absciss..
Note:
i) If the points A and B lie on the x-axis, then the ordinates of A and B are zeros. i.e., A (x 1 , 0), B (x 2 ,0) ii) If the points A and B lie on the y-axis, then the abscissae of A and B are zeros. i.e., A (0,y 1 ) and B (0,y 2 ) iii) Distance of any point A (x, y) from the origin..
Rectangular coordinate system
The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are termed as coordinate axes, the one (usually drawn horizontally) is called the x-axi..
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