Complex NumbersHard
Question
If 
represents a pair of intersecting lines with angle of intersection ′θ′ then the value of |A| is
represents a pair of intersecting lines with angle of intersection ′θ′ then the value of |A| isOptions
A.tan θ
B.cos θ
C.sec θ
D.
Solution
z = x + iy, A = α + iβ B = γ + δi
x2 + y2 + 2α (x2 - y2) + 4xyβ + αx - βy + c = 0.
tan θ =
tan θ =
4|A|2 = 1 + tan2θ
|A| =
x2 + y2 + 2α (x2 - y2) + 4xyβ + αx - βy + c = 0.
tan θ =
tan θ =
4|A|2 = 1 + tan2θ
|A| =
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