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The line lx+ my +n=0 will touch the para...

The line lx+ my +n=0 will touch the parabola `y^2 = 4ax` if

A

`lm=an^2`

B

`mn=al^2`

C

`nl=am^2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The line Ix+ my + n = 0 is a normal to the parabola y^2 = 4ax if

    A
    `al(l^2 +2m^2) +m^2n=0`
    B
    `al(l^2 +2m^2)=m^2n`
    C
    `al(2l^(2) + m^2) =-m^2n`
    D
    `al(2l^(2) + m^2) =2m^2n`

  • The pole of the line lx+my+n=0 with respect to the parabola y^(2)=4ax, is

    A
    `(n/l,-(2am)/l)`
    B
    `(n/m,-(2am)/m)`
    C
    `(n/m,-(2al)/m)`
    D
    none of these

  • If the line x+my+am^(2)=0 touches the parabola y^(2)= 4ax then the ponit of contact is

    A
    `(-am^(2),2am)`
    B
    `(-am^(2), -2am)`
    C
    `(am^(2),-2am)`
    D
    `(am^(2),2am)`

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    If the line lx+my+n=0 touches the parabola y^(2)=4ax, prove that ln=am^(2)

    Prove that the straight line lx+my+n=0 touches the parabols y^2=4ax , if ln=am^2 .

    If the line Ix+my+n=0 is a tangent to the parabola y^(2)=4ax, then locus of its point of contact is:

    If the line px + qy =1 is a tangent to the parabola y^(2) =4ax, then

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