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Question

Mathematics Question on Straight lines

The angle between the straight lines x−y3=5 and 3x+y=7 is

A

(A) 90o

B

(B) 60o

C

(C) 75o

D

(D) 30o

Answer

(A) 90o

Explanation

Solution

Explanation:
Given, equations of straight lines arex−y3=5 and 3x+y=7On comparing with ax+by=0, we geta1=1,b1=−3,a2=3,b2=1Now, a1a2+b1b2=1⋅3+(−3)⋅1=0∴ Lines are perpendicular.∴θ=90∘