The angle between the straight lines \( \Large x-y\sqrt{3}=5\ and\ \sqrt{3}x+y=7 \) is:

A) \( \Large 90 ^{\circ} \)

B) \( \Large 60 ^{\circ} \)

C) \( \Large 75 ^{\circ} \)

D) \( \Large 30 ^{\circ} \)

Correct answer:
B) \( \Large 60 ^{\circ} \)

Description for Correct answer:

Given equation is compared with \( \Large a_{1}x+b_{1}y=0\ and\ a_{2}x+b_{2}y=0 \)

Now, \( \Large a_{1}a_{2}+b_{1}b_{2}= \left(1\right) \left(\sqrt{3}\right)+ \left(-\sqrt{3}\right) \left(1\right)=0 \)

Line are perpendicular

\( \Large \theta-90 ^{\circ} \)



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