Questions
The acute angle between the pair of lines is
a
α
b
2α
c
α2
d
3α
detailed solution
Correct option is B
If θ is acute angle between pair of lines represented by the equation ax2+2hxy+by2=0 then cosθ=a+b(a−b)2+(2h)2For the equation cosα+sinαx2−2xycosα+cosα−sinαy2=0, the values are a=cosα+sinα,2h=−2cosα,b=cosα−sinαHence, cosθ=2cosα4sin2α+4cos2α=2cosα2=cosαTherefore, θ=αTalk to our academic expert!
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If the pair of lines are perpendicular to each other then
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