Proof of angle between two lines Formula, Condition for two lines to be parallel, perpendicular

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Proof of angle between two lines. Finding the angle between two lines on the coordinate plane have slopes m1 and m2. Proof or Derivation of angle between two lines. Formula to find angle between two lines on the coordinate plane. Condition for two lines to be parallel and perpendicular in coordinate geometry (Mathematics). Problem based on finding the angle between two lines on the coordinate plane. How to find the angle between two lines? When two distinct lines intersect and are non perpendicular, their intersection forms two pairs of opposite angles. One pair is acute angle and other pair is obtuse. The smaller of these angles is the angle between the two lines. If two lines have inclination theta 1 and theta 2, where theta 1 is less than theta 2 and difference between these two angles is less than 90 degrees, then the formula for the tangent of the difference of two angles will give angle between two lines. By using this result; finding the angle between two lines becomes easier. If only equations of two lines are given then you can easily calculate slopes of the lines with the help of coefficients of x and y, then angle between the lines. How to find angle between two lines in coordinate geometry. How to find angle between two lines when slopes are given. How to find angle between two lines equation. How to find acute angle between two lines. How to find between two lines given their slopes. Angle between two lines class 11. Angle between two lines class 12. How to find angle between 2 lines.
Chapters:
0:00 - Introduction.
0:25 - Derivation of Formula to find angle between two lines given its slope.
2:44 - Condition for two lines to be parallel to each other in terms of their slopes.
3:20 - Condition for two lines to be perpendicular to each other in terms of their slopes.
4:19 - Problem based on finding the angle between two lines.

Shifting of origin and its effect to the curve:

Rotation of axes, Transformation of curve without shifting origin:

Coordinate Geometry Playlist:

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