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Q1: If α is the angle between the polar ray and the tangent at the point of commencement of a lemniscate curve, the equation of the curve, is

A l = ksin α

B l = ksin 2α

C l = ksin 3α

D l = ktan 2α

E l = kcos 2α

ANS:B - l = ksin 2α

The shortest distance between the point of commencement and point of a tangent I'm circular curve is? At the point of commencement. The curve takes only &alpha angle. not 2* α. So, option A is the right one. Option (b) will be correct, as the length of lemniscate curve is:
L=3.934r√(sin2a).



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