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Find the equation of the lines joining t...

Find the equation of the lines joining the origin to the points of intersection of `x^2 + y^2 =1` and x + y = 1.

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Find the angle between the lines joining the origin to the points of intersection of y^(2)=x and x+y=1 .

Show that lines joining the origin to the points of intersection of 2(x^(2)+y^(2))=1 and x+y=1 coincide.

Knowledge Check

  • 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

    A
    `x^2+(3-y)^2=9`
    B
    `(3+y)^2+y^2=9`
    C
    `x^2-y^2=9`
    D
    `xy=0`

  • 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

    A
    `x^(2) + (3-y)^(2) = 9`
    B
    `(3 + y)^(2) + y^(2) = 9`
    C
    `x^(2) - y^(2) = 9`
    D
    `xy = 0`

  • The equation of the bisectors of the angles between the lines joining the origin to the points of intersection of the curve x^(2) + xy + y^(2) + x + 3y + 1 = 0 and the line x + y + 2 = 0 is

    A
    `x^(2) + 4xy - y^(2) = 0`
    B
    `2x^(2) + 5xy - y^(2) = 0`
    C
    `x^(2) + 6xy - 2y^(2) = 0`
    D
    `2x^(2) - 4xy + 2y^(2) = 0 `

    • Similar Questions

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    Find the condition for the lines joining the origin to the points of intersection of the circle x^2+y^2=a^2 and the line lx+my=1 to coincide.

    Find the condition for the lines joining the originto the points of intersection of the circle x^2 + y^2 = a^2 and the line lx + my = 1 to coincide.

    Find the condition for the lines joining the origin to the points of intersections of 5(x^(2)+y^(2)+bx+ay)=9 ab and (x)/(a)+(y)/(b)=1 are at right angles.

    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.

    Find the angle between the lines joining the origin to the point of intersection of the curve x^2 + 2xy + y^2 + 2x + 2y - 5 =0 and the line 3x - y + 1 =0 .

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