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Questions  

The tangent of the acute angle between the pair of lines 2x23xy+y2=0 is

a
13
b
14
c
12
d
1

detailed solution

Correct option is A

If θ is acute angle between pair of lines represented by the equation ax2+2hxy+by2=0 then tanθ=2h2−aba+bFor the equation 2x2−3xy+y2=0,the values are a=2,2h=−3,b=1Hence, tanθ=2−322−23=13Therefore, tangent of the acute angle between the pair of lines 2x2−3xy+y2=0,is 13

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