coincident lines


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Straight lines and Family of Straight lines Introduction
The given equation can be split into n equations viz Each of these n equations represents straight lines through the origin. Hence the given equation represents n lines through the origin. It is to be noted that all the n straight lines need not be real and distinct. S..
The points that are on the same line are called ______________ .
The points that are on the same line are called ______________ . => non-collinear points or collinear points or point of coincidence or intersecting points..
To show that a homogenous equation of second degree in x and y represents a pair of straight lines passing through the origin.
are the two straight lines represented by (1). These two equations are of the form y = m 1 x and y = m 2 x and therefore the given equation represents two straight lines through the origin. The two straight lines are real, coincident or imagina..
Graphical representation of a Linear Equation in two variables
The position of a point in a plane is fixed by selecting two axes of reference which are formed by combining two number lines at right angles so that their zeros coincide. The horizontal number line is called x-axis and the vertical number line is calle..
Question 4
Question: If A, B and C are three points on a line, and B lies between A and C, then prove that AB + BC = AC. Answer: In the given figure AC coincides with AB + BC. According tone of Euclid's axioms, things which coincide with one another, are equal t..
Linear Equation Graphical representation
Rectangular axes - The position of a point in a plane is fixed by selecting two axes of reference which are formed by combining two number lines at right angles so that their zeros coincide. The horizontal number line is called x-axis and the vertical number lineh..
Micrometer Screw-Gauge
. If the zero is not coinciding with the datum line, there will be a positive or negative zero error as shown in figure below. Zero error in case of screw gauge While taking a reading, the thimble is turned until the wire is held firmly between the anvil and the spindle. The lea..
Question 6
Question: If a point C lies between two points A and B such that AC = BC, then prove that Answer: AC = BC (given) AC + AC = BC + AC (equals are added to equals, the wholes are equal) (BC + AC = AB because things which coincide with one another are equal to one anoth..
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 hor..
Rectangular coordinate system
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 ..
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