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If the equation \[ \lambda x^2-5xy+6y^2+x-3y=0 \] represents a pair of straight lines, then the point of intersection of these straight lines is

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For \[ ax^2+2hxy+by^2+2gx+2fy+c=0, \] the intersection point of the pair of lines is obtained from \[ ax+hy+g=0, \qquad hx+by+f=0. \] First find any unknown parameter using the determinant condition, then solve these two linear equations.

Updated On: Jul 29, 2026

$(1,3)$
$(1,-3)$
$(3,-1)$
$(-3,-1)$

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The Correct Option is D

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If the equation \[ \lambda x^2-5xy+6y^2+x-3y=0 \] represents a pair of straight lines, then the point of intersection of these straight lines is

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The Correct Option is D

Solution and Explanation

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