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Circle described on the focal chord as d...

Circle described on the focal chord as diameter touches the directrix.

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Knowledge Check

  • The locus of the centre of the circle described on any focal chord of a parabola y^2 = 4ax as diameter is

    A
    `x_2 = 2a(y-a)`
    B
    `m_2 = –2a(y – a)`
    C
    `y_2 = 2a(x – a)`
    D
    `y^2 = –2a (x – a)`

  • The locus of the centre of the circle described on any focal chord of the parabola y^(2)=4ax as the diameter is

    A
    `y^(2)=2a(x+a)`
    B
    `y^(2)=a(x+a)`
    C
    `y^(2)=2a(x-a)`
    D
    `y^(2)=4a(x-a)`

  • Statmenet 1 : The point of intesection of the common chords of three circles described on the three sides of a triangle as diameter is orthocentre of the triangle. Statement-2 : The common chords of three circles taken two at a time are altitudes of the traingles.

    A
    Statement-1 `:` is True, Statement-2 is True and Statement-2 is a correct explanation for Statement-1
    B
    Statement-1 is True, Statement-2 is True and Statement-2 is NOT a correct explanation for Statement -1
    C
    Statement-1 is True, Statement-2 is false
    D
    Statement-1 is False, Statement-2 is True

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    If C is a circle described on the focal chord of the parabola y^(2)=4x as diameter which is inclined at an angle of 45^(@) with the axis,then the

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