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y^(2) = 4ax...

`y^(2) = 4ax `

Text Solution

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The correct Answer is:
`2xy_(1) = y`
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A double ordinate of the parabola y^(2) = 4 ax is of length 8a . Prove that the lines joining the vertex to its two ends are at right angles .

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 _

Knowledge Check

  • The locus of middle points of a family of focal chord of the parabola y^(2) =4 ax is-

    A
    `x ^(2) -2ay+a^(2)=0`
    B
    `y ^(2) -2ax +2a ^(2) =0`
    C
    `y ^(2) -2ax +a ^(2) =0`
    D
    `x ^(2) -2ay +2a ^(2) =0`

  • If (x+a)^2+(y+b)^2=4(ax+by) and x, y, a, b are real numbers, then the value of (xy-ab) is :

    A
    a
    B
    0
    C
    b
    D
    none of these

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    Find the equation of the common tangent to the parbolas y^(2)=4 ax and x^(2)=4by

    Find the equation of the tangent and normal of the following curves at the specified points : y^(2)=4 ax at the ends of latus rectum

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