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Question

Find the value of $$k$$, if $$2x+y=0$$ is one of the lines given by $${ 3x }^{ 2 }+kxy+2{ y }^{ 2 }=0$$


Solution

$$2x+y=0$$
$$2x=-y$$
$$3x^2+kxy+2y^2=0$$
$$3x^2+kx(-2x)+2(4x^2)=0$$
$$3x^2-2kx^2+8x^2=0$$
$$k=\dfrac{11}{2}$$.

1198024_1158184_ans_59f671829743495fa4644b65274a5503.jpg

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