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Find the coordinates of points where pair of lines given by equation `2x^(2)-6y^(2)+xy-2x+17y-12=0` intersect line `x=1`.

Text Solution

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Let the given pair of straight lines intersect line `x=1` at (1,y).
Putting this point in the given equation , we get
`2-6y^(2)+y-2+17y-12=0`
`rArry^(2)-3y+2=0`
`rArr (y-1)(y-2)=0`
`rArry=1,y=2`
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Knowledge Check

  • The point of intersection of the straight lines given by the equation 3y^2 - 8xy - 3x^2 - 29x - 3y + 18 = 0 is :

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    B
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    C
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