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S is focus of parabola y^(2) = 8 x an...

S is focus of parabola `y^(2) = 8 x ` and AB is common chord of `y^(2) = 4 ax ` and circle `x^(2) + y^(2) - 2x - 4y = 0 ` the area of `Delta PQS ` is _

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The focus of the parabola y = 2x^(2) + x is

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Knowledge Check

  • The circle x^2 + y^2 - 8x + 4y +4 = 0 touches

    A
    x-axis
    B
    y-axis
    C
    both axis
    D
    Neither x-axis nor y-axis
  • The circle x ^(2) +y^(2) -8 x+4=0 touches -

    A
    x-axis
    B
    y-axis
    C
    both axes
    D
    neither x-axis nor y-axis
  • The focus of the parabola y ^(2) -x -2y+2=0 is at-

    A
    `((1)/(4), 0)`
    B
    `((5)/(4) , 1)`
    C
    `(1,2)`
    D
    `(1,(5)/(4))`
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    Find the length of the common chord of the parabola y^2=4(x+3) and the circle x^2+y^2+4x=0 .

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