Write down the equation of the pair of straight lines joining the origin to the points of intersection of the `6x-y+8=0` with the pair of straight lines `3x^2+4xy-4y^2-11x+2y+6=0`. Show that the lines so obtained make equal angles with the coordinates axes.
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The correct Answer is:
`:.` The pair of lines are equally inclined to the co-ordinate axes.
The equation of the pair of lines joining the origin to the points of intersection of x^2+y^2=9 and x+y=3 , is
The equation of the pair of lines joining the origin to the points of intersection of x^(2) + y^(2) = 9 and x + y = 3 , is
The lines joining the origin to the points of intersection of x+2y=k with the pair of lines 2x^(2)-2xy+3y^(2)+2x-y-1=0 are at right angles then k =
The straight lines joining the origin to the points of intersectiion of the line 4x+3y=24 with the curve (x-3)^(2)+(y-4)^(2)=25
Show that the pair of lines joining the origin to the points of intersection of the line 3x - y = 2 with the pair of lines 7x^2 - 4xy + 8y^2 + 2x - 4y - 8 = 0 are equally inclined with the co-ordinate axes.
Find the equation to the pair of lines joining the origin to the points of intersection of the curve 7x^(2)-4xy+8y^(2)+2x-4y-8=0 with the striaht line 3x-y=2 and the angle between them.
The lines joining the origin to the points of intersection of y=6x+8 with 3x^(2)+4xy-4y^(2)-11x+2y+6=0 are equally inclined to
The equation of the straight line passing through the point of intersection of 5x -6y -1 , 3x+2y+5=0 and perpendicular to the line 3x -5y+11=0 is
Find the angle between the lines joining the origin to the points of intersection of the curve x^2+2xy+y^2+2x+2y-5=0 and the line 3x-y+1=0.
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PAIR OF STRAIGHT LINES -EXERCISE - 4(c) III.
