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The combine equation of the lines passin...

The combine equation of the lines passing through the origin and which are at a distance of 9 units from the Y-axis is

A

`y^(2)-81=0`

B

`y^(2)+81=0`

C

`x^(2)-81=0`

D

`x^(2)+81=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The combine equation of the lines passing through the origin and having slopes 3 and 2 is

    A
    `6x^(2)+5xy+y^(2)=0`
    B
    `6x^(2)-5xy+y^(2)=0`
    C
    `x^(2)+5xy+6y^(2)=0`
    D
    `x^(2)-5xy+6y^(2)=0`

  • The combine equation of the lines passing through the origin and each of which makes an angle of 60^(@) with the Y-axis is

    A
    `x^(2)-3y^(2)=0`
    B
    `3x^(2)-y^(2)=0`
    C
    `x^(2)-sqrt(3)y^(2)=0`
    D
    `sqrt(3)x^(2)-y^(2)=0`

  • The combine equation of the lines passing through the origin and having inclinations 60^(@) and 120^(@) with X-axis is

    A
    `3x^(2)-y^(2)=0`
    B
    `3x^(2)+y^(2)=0`
    C
    `x^(2)-3y^(2)=0`
    D
    `x^(2)+3y^(2)=0`

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