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Combined equation of pair of lines passi...

Combined equation of pair of lines passing through origin and inclined at `30^(@) and 60^(@)` respectively with x-axis is

A

`sqrt(3)y^(2)-x^(2)=0`

B

`y^(2)-sqrt(3)x^(2)=0`

C

`sqrt(3)y^(2)+4xy- sqrt(3)x^(2)=0`

D

`sqrt(3)y^(2)-4xy+sqrt(3)x^(2)=0`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The combined equation to a pair of straight lines passing through the origin and inclined at 45^(@), 60^(@) with X-axis is

    A
    `sqrt3x^(2)-(sqrt3+1)xy+y^(2)=0`
    B
    `sqrt3x^(2)+(sqrt3+1)xy+y^(2)=0`
    C
    `sqrt3x^(2)-(sqrt3+1)xy-y^(2)=0`
    D
    `sqrt3x^(2)-(sqrt3-1)xy+y^(2)=0`

  • The combined equation to a pair of staright lines passing through the origin and inclined at an angles 30^@ and 60^@ respectively with X-axis is

    A
    `sqrt3(x^2+y^2)=4xy`
    B
    `4(x^2+y^2)=sqrt3xy`
    C
    `x^2+sqrt3 y^2-2xy=0`
    D
    `x^2+3 y^2-2xy=0`

  • A straight line passing through origin and inclined at 60^(@) to the line sqrt(3)x=y=1 is

    A
    `y=0`
    B
    `x=0`
    C
    `x+y=0`
    D
    `x-y=0`

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