(B) The coordinate axes are given by the equations $x = 0$ and $y = 0$.The bisectors of the angles between the coordinate axes are the lines $y = x$ a

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(B) The coordinate axes are given by the equations $x = 0$ and $y = 0$.The bisectors of the angles between the coordinate axes are the lines $y = x$ and $y = -x$.These can be rewritten as $y - x = 0$ and $y + x = 0$.The combined equation is obtained by multiplying these two equations:$(y - x)(y + x) = 0$$y^2 - x^2 = 0$Multiplying by $-1$,we get $x^2 - y^2 = 0$.

Class 11 Mathematics Pair of straight lines Bisectors of the angle between the lines, Point of intersection of the lines

Medium

The combined equation of the bisectors of the angles between the coordinate axes is:

A
$x^2 + y^2 = 0$
B
$x^2 - y^2 = 0$
C
$xy = 0$
D
$x + y = 0$

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Pair of straight lines

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Bisectors of the angle between the lines, Point of intersection of the lines

The equation of the straight line passing through the point of intersection of the lines represented by $x^2+4xy+3y^2-4x-10y+3=0$ and the point $(2,2)$ is

MediumAP EAMCET 2024

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If $3x^2-11xy+10y^2-7x+13y+k=0$ denotes a pair of straight lines,then the point of intersection of the lines is

DifficultTS EAMCET 2010

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The square of the distance between the origin and the point of intersection of the lines represented by the equation $ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0$ is

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The straight line passing through $(-1, 1)$ and parallel to the common line of the pairs of lines given by $6x^2 - xy - 12y^2 = 0$ and $15x^2 + 14xy - 8y^2 = 0$ is:

MediumAP EAMCET 2022

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The equation of the bisectors of the angle between the lines represented by the equation ${x^2} - {y^2} = 0$ is:

Medium

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The combined equation of the bisectors of the angles between the coordinate axes is:

Similar Questions

The equation of the straight line passing through the point of intersection of the lines represented by $x^2+4xy+3y^2-4x-10y+3=0$ and the point $(2,2)$ is

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