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High School Mathematics - 2
9.15 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 = [(x2 - x1)2 + (y2 - y1)2].

9. The distance from (0,0) to (x,y) is (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 0 and b 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 horizontal line is called the _____.
Y - axis
X - axis

Q 2: The point (-2,7) lies in _______ quadrant.
First
Second
Fourth
Third

Q 3: The point of intersection of the horizontal line and vertical line is called the _____.
Answer:

Q 4: The vertical line is called the ______.
Y - axis
X - axis

Q 5: The point (3,-2) lies in ________quadrant.
Third
Fourth
First
Second

Q 6: The point (-6,-5) lies in _____quadrant.
Third
Second
Fourth
First

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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