The straight lines represented by `x^2+m x y-2y^2+3y-1=0`meet at`(-1/3,2/3)`(b) `(-1/3,-2/3)``(1/3,2/3)`(d) none of theseA. `(-1//3,2//3)`B. `(-1//3,-2//3)`C. `(-1//3,-2//3)`D. None of these

The straight lines represented by `x^2+m x y-2y^2+3y-1=0`meet at`(-1/3

1.	The straight lines represented by `x^2+m x y-2y^2+3y-1=0`meet at`(-1/3,2/3)`(b) `(-1/3,-2/3)``(1/3,2/3)`(d) none of theseA. `(-1//3,2//3)`B. `(-1//3,-2//3)`C. `(-1//3,-2//3)`D. None of these
Answer» Correct Answer - 1, 3 The equation represents a pair of straight lines . Hence, `1xx(-2)(-1)+2((3)/(2))xx0xx(m)/(2)-1xx((3)/(2))^(2)-(-2)xx0^(2)-(-1)xx((m)/(2))^(2)=0` or `m=1,-1` The point of intersection of the pair of lines are obtained by solving `(partialS)/(partial x)-=2x+my=0and (partialS)/(partialy)-=mx-4y+3=0` When `m=1`, the required point is the intersection of `2x+y=0,x-4y+3=0` When `m=-1`, the reqired point is the intersection of `2x-y=0,-x4y+3=0`.

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