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The combined equation of bisector of angles between lines represented by (x2+y2)√3=4xy is
- a)y2-x2=0
- b)2y=0
- c)x2+y2=2xy
- d)[(x2+y2)/√3] = (xy/2)
Correct answer is option 'A'. Can you explain this answer?
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The combined equation of bisector of angles between lines represented ...
Explanation:
Finding the Bisector of Angles between Lines:
To find the equation of the bisector of angles between two lines, we first need to determine the slopes of the two lines formed by the given equation.
Given Equation:
(x^2 + y^2)√3 = 4xy
Converting the Equation to Standard Form:
(x^2 + y^2)√3 = 4xy
x^2 + y^2 = 4xy/√3
x^2 - 4xy/√3 + y^2 = 0
Comparing with General Form of Second Degree Equation:
Ax^2 + 2Hxy + By^2 = 0
Comparing the Parameters A, H, and B:
A = 1, H = -4/√3, B = 1
Finding the Slopes of the Lines:
The slopes of the lines represented by the given equation can be found using the formula:
m = -H/√(AB)
Calculating the Slopes:
m = -(-4/√3) / √(1*1)
m = 4/√3
Equation of Bisector of Angles between the Lines:
The equation of the bisector of angles between the lines represented by the given equation is given by:
y^2 - x^2 = 0
Therefore, the correct answer is option (a) y^2 - x^2 = 0.
Finding the Bisector of Angles between Lines:
To find the equation of the bisector of angles between two lines, we first need to determine the slopes of the two lines formed by the given equation.
Given Equation:
(x^2 + y^2)√3 = 4xy
Converting the Equation to Standard Form:
(x^2 + y^2)√3 = 4xy
x^2 + y^2 = 4xy/√3
x^2 - 4xy/√3 + y^2 = 0
Comparing with General Form of Second Degree Equation:
Ax^2 + 2Hxy + By^2 = 0
Comparing the Parameters A, H, and B:
A = 1, H = -4/√3, B = 1
Finding the Slopes of the Lines:
The slopes of the lines represented by the given equation can be found using the formula:
m = -H/√(AB)
Calculating the Slopes:
m = -(-4/√3) / √(1*1)
m = 4/√3
Equation of Bisector of Angles between the Lines:
The equation of the bisector of angles between the lines represented by the given equation is given by:
y^2 - x^2 = 0
Therefore, the correct answer is option (a) y^2 - x^2 = 0.
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The combined equation of bisector of angles between lines represented by (x2+y2)√3=4xy isa)y2-x2=0b)2y=0c)x2+y2=2xyd)[(x2+y2)/√3] = (xy/2)Correct answer is option 'A'. Can you explain this answer?
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