Grade 12th passAnalytical Geometry
Prove that [1/(x+y-a)]+[1/(x-y+a)]+[1/(y-x+a)]=0 represents a parabola
Prove that [1/(x+y-a)]+[1/(x-y+a)]+[1/(y-x+a)]=0 represents a parabola
1 Answer
Saurabh Koranglekar
The general form of the equation of Parabola
Ax^2+ Bxy + Cy^2+ Dx + Ey + F = 0
The expression B2- 4AC is the discriminant that is used to determine the type of conic section represented by the equation.
If the equation fulfills these conditions, then it is the parabola.
B^2- 4AC = 0
The form can be obtained as follows
given that
(1/m)+(1/n)+(1/p)=0
simplified form is
mn+mp+np=0
using the conditions and simplification we can prove the needful
Regards
Ax^2+ Bxy + Cy^2+ Dx + Ey + F = 0
The expression B2- 4AC is the discriminant that is used to determine the type of conic section represented by the equation.
If the equation fulfills these conditions, then it is the parabola.
B^2- 4AC = 0
The form can be obtained as follows
given that
(1/m)+(1/n)+(1/p)=0
simplified form is
mn+mp+np=0
using the conditions and simplification we can prove the needful
Regards
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