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Question

The tangent of angle between the straight lines xy+5=0 and x+2y=0 is

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Solution

Slope of xy+5=0 is 1
Slope of x+2y=0 is 12
m1=1. m2=12
Angle between lines
tanθ=m1m21+m1m2=∣ ∣ ∣ ∣1+121+(12)∣ ∣ ∣ ∣=3
tanθ=3

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