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The chords of contact of the pair of tan...

The chords of contact of the pair of tangents drawn from each point on the line `2x + y=4` to the circle `x^2 + y^2=1` pass through the point (a,b) then 4(a+b) is

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A point on the line `2x+y=4` is of the form `(h,4-2h)` Equation of the chord of contact is T=0 i.e.
The line passes through the point of intersection of `4y-1=0 and x-2y=0` i.e. through the point `((1)/(2),(1)/(4))`.
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The chords of contact of the pairs of tangents drawn from each point on the line 2x+y=4 to the parabola y^(2)=-4x pass through the point

The chord of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the parabola y^(2)=-4x passes through a fixed point: (A) (-2,1)(B)(-2,-1)(C)((1)/(2),(1)/(4))(D)(-(1)/(2),-(1)/(4))

Knowledge Check

  • The chords of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the circle x^2+y^2=1 pass through a fixed point

    A
    (2,4)
    B
    (-1/2,-1/4)
    C
    (1/2,1/4)
    D
    (-2,-4)

  • The angle between the pair of tangents drawn from the point (2,4) to the circle x^(2)+y^(2)=4 is

    A
    `tan^(-1)(3//8)`
    B
    `tan^(-1)(4//3)`
    C
    `90^(@)`
    D
    none

  • The chord of contact of the tangent from a point on the circle x^(2)+y^(2)=a^(2) to the circle x^(2) + y^(2) =b^(2) touches the circle x^(2)+y^(2)=c^(2) , then a, b, c are in :

    A
    A.P
    B
    G.P
    C
    H.P
    D
    A.G.P

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