Class 11MathematicsPair of straight linesBisectors of the angle between the lines, Point of intersection of the lines
MediumThe joint equation of the bisectors of the angles between the lines represented by $2x^2 + 11xy + 3y^2 = 0$ is:
- A$11x^2 + 2xy - 11y^2 = 0$
- B$x^2 + 2xy - y^2 = 0$
- C$3x^2 - 11xy + 2y^2 = 0$
- D$11x^2 - 2xy - 11y^2 = 0$
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If the bisectors of the angles between the pairs of lines given by the equations $ax^2 + 2hxy + by^2 = 0$ and $ax^2 + 2hxy + by^2 + \lambda(x^2 + y^2) = 0$ are coincident,then $\lambda = $
Medium
View SolutionThe joint equation of the pair of lines which bisects the angles between the lines $x^2+3xy+2y^2=0$ is
The equation of a pair of lines $y=px$ and $y=qx$ can be written as $(y-px)(y-qx)=0$. Then the equation of the pair of angle bisectors of the lines $x^2-4xy-5y^2=0$ is
DifficultMHT CET 2024
View SolutionIf $ax^2+2hxy-2ay^2+3x+15y-9=0$ represents a pair of lines intersecting at $(1,1)$,then $ah=$
The three lines given by the combined equation $y^3-4x^2y=0$ represent:
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