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The combined equation to a pair of stari...

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`

Text Solution

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The correct Answer is:
A
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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`

  • 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`

  • The equation to the pair of lines passing through the origin and perpendicular to 5x^(2)+3xy=0 is

    A
    `2x^(2)+5xy+3y^(2)=0`
    B
    `x^(2)-2y^(2)=0`
    C
    `3xy-5y^(2)=0`
    D
    `3x^(2)-2xy=0`

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