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High School Mathematics - 29.15 Coordinate Geometry - Review

 1. There is one-to-one corresponding between the pints of a plane and the ordered pairs of real numbers. 2. The plane is divided into 4 quadrants by the axes of co-ordinates. 3. In a co-ordinate system the horizontal line is called the X-axis and vertical line is called the Y-axis. The point of intersection of these axes is called the origin. 4. In an ordered pair (x,y), x is called the first co-ordinate or X-co-ordinate and y is called the second co-ordinate or Y-co-ordinate. 5. The slope of a line passing through A(x1,y1) and B(x2,y2) is m = (y2 - y1)/(x2 - x1). 6. Two lines are parallel if and only if their slopes are equal. 7. The equation of a line passing through the origin with slope m is y = mx. 8. The distance between the points A(x1,y1) and B(x2,y2) is AB = Ö[(x2 - x1)2 + (y2 - y1)2]. 9. The distance from (0,0) to (x,y) is Ö(x2 + y2). 10. The mid point of the segment joining (x1,y1) and (x2,y2) is [(x1 + x2)/2 (y1,y2)/2]. 11. The general form of a linear equation is ax + by + c = 0, where, a ¹ 0 and b ¹ 0. 12. The point-slope form of a line y - y1 = m(x - x1). 13. The slope-intercept form of a line y = ma + c. 14. The equation of a line passing through (x1,y1) and (x2,y2) is (x - x1) (y2 - y1) = (y - y1) (x2 - x1). 15. The intercept form of a line is x/a + y/b = 1. 16.The general form of a line is ax + by + c = 0. 17. The angle made by a line with x-axis in the anticlockwise direction is called its steepness or inclination. 18. The lines are perpendicular if the product of their slopes is -1. Directions: Choose the correct answer.
 Q 1: The point (3,5) lies in __________ quadrant.SecondThirdFourthFirst Q 2: x = 0 and y = 0 represent the point _______.Answer: Q 3: The point (3,-2) lies in ________quadrant.FirstThirdFourthSecond Q 4: The point (-6,-5) lies in _____quadrant.SecondThirdFirstFourth Q 5: The point (-2,7) lies in _______ quadrant.ThirdSecondFirstFourth Q 6: The vertical line is called the ______.X - axisY - axis Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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