co-ordinate geometry


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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 - a..
Quadrants
The four quadrants formed by the ordinate axe..
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..
Question 8
image Question: A is a point on the y-axis whose ordinate is 5 and B is the point (-3, 1). Calculate the length of AB. [2 Mark] Answer: The co-ordinates of A are (0,5) B = (-3,-1) (given) ..
Section Formula
To find the co-ordinates of a point C (x, y) which divides the line segment joining the two points A (x 1 ,y 1 ) and B (x 2 ,y 2 ) in the ratio m:n ( internally and externally..
Section Formula
To find the co-ordinates of a point C (x, y) which divides the line segment joining the two points A (x 1 ,y 1 ) and B (x 2 ,y 2 ) in the ratio m:n ( internally and externall..
Section Formula
Section Formula - To find the co-ordinates of a point C (x, y) which divides the line segment joining the two points A (x 1 ,y 1 ) and B (x 2 ,y 2 ) in the ratio m:n ( internally and externall..
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..
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 axes, the one (usually drawn h..
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