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Find the condition for the lines joining...

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.

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Explore conceptually related problems

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

Knowledge Check

  • If theta is the angle between the lines joining the origin to the points of intersection of the curve 2x^2+3y^2=6 and the line x+y =1, then sin theta =

    A
    1
    B
    `sqrt7/(145)`
    C
    `sqrt((96)/(145))`
    D
    `1/2`

  • The angle between the lines joining the origin to the point of intersection of lx+my=1 and x^2+y^2=a^2 is

    A
    `pi//2`
    B
    `pi/4`
    C
    `cos^(_1)(1/(asqrt(l^2+m^2)))`
    D
    `2cos^(_1)(1/(asqrt(l^2+m^2)))`

  • 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`

    • Similar Questions

    Explore conceptually related problems

    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.

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

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

    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

    Find the values of k, if the lines joining the origin to the points of intersection of the curve 2x^(2)-2xy+3y^(2)+2x-y-1=0 and the line x+2y=k are mutually perpendicular.

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