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Question

If the lines represented by the equation ax2bxyy2=0 make angles α and β with the x - axis, then tan(α+β) =


A

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B

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C

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D

None of these

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Solution

The correct option is B


Here the equation is ax2bxyy2=0 and given that m1=tanα and m2=tanβ and we know that

m1+m2=b1=tanα+tanβ

and m1m2=a1=tanαtanβ

tan(α+β)=tanα+tanβ1tanαtanβ=b1(a)=b(1+a).


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