Mathematics Hand notes for B. Sc (honors) Math Students.

Problem-2: Find the equation of the bisectors of the angle between the pair of lines represented by (ax^2+2hxy+by^2) =0.

Solution: let, (ax^2+2hxy+by^2) represents two straight lines,

2D geometry
Then,
2D geometry
Now, the equation of bisectors of the angle between the lines,
2D geometry




 This is the required equation. (Ans.)



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Problem-1: Find the angle between the straight lines ax^2+2hxy+by^2=0. (The axes are assumed to be rectangular).

Solution:   Let,  (ax^2+2hxy+by^2)=0  represent two straight lines,

2D Geometry
 Then,
2D Geometry
 Let, θ be the angle between the lines,

2D Geometry
Then,
2D Geometry
 This is the required angle. (Ans).
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What is plane Geometry?

Definition: Plane coordinates pure mathematics is that branch of pure mathematics within which we have a tendency to use 2 numbers, known as coordinates to point the position of a degree in an exceedingly plane. Co-ordinate pure mathematics is additional powerful than standard pure mathematics, as a result of we will use the ways of pure mathematics in it.
plane geometryt
Plane Geometry

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Mathematics Hand notes
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