1. Locus of Circle x2 + y2 = a2
Centre = (0 ,0)
Radius of Circle = a
2. Slope of line ax + by + c = 0 is m = – a/b
3. If three points A , B and C are collinear then
4. Slope of the line m = tanθ
where θ is angle which makes with the positive direction of the x – axis in anticlockwise direction.
5. Slope of the line which passing through points (x1 , y1 ) and (x2 , y2 ) is
6. If m1 and m2 are slope of any two lines L1 and L2 then
(a). If lines L1 and L2 are parallel to each other then m1 = m2
(b). If lines L1 and L2 are perpendicular to each other then m1 . m2 = -1
7. If a line parallel to x – axis or perpendicular to y – axis then
Slope (m) = Tan00
m = 0 ( Not Defined )
Slope of line PQ = 0
8. If a line parallel to y – axis or perpendicular to x – axis then
Slope (m) = Tan900
m = ∞ ( Not Defined )
Slope of line PQ = ∞
9. If a line is equally inclined to the axis , then it will make an angle of 450 or 1350 with the positive direction of x – axis.
Slope = Tan450
or
Slope = Tan1350
Slope = ± 1
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