Question:medium

If the slope of one of the lines is twice the slope of the other in the pair of straight lines \[ 6x^2+2hxy+y^2=0, \] then \[ |h|= \]

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For \[ ax^2+2hxy+by^2=0, \] substitute \[ y=mx \] to get the quadratic equation in $m$. The roots are the slopes of the two lines, so Vieta's formulas can be applied immediately.

Updated On: Jul 29, 2026

$-\dfrac{3\sqrt3}{2}$
$\dfrac{3\sqrt2}{3}$
$\dfrac{3\sqrt3}{2}$
$\dfrac{3\sqrt5}{2}$

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The Correct Option is C

Solution and Explanation

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If the slope of one of the lines is twice the slope of the other in the pair of straight lines \[ 6x^2+2hxy+y^2=0, \] then \[ |h|= \]

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The Correct Option is C

Solution and Explanation

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