JAMB Mathematics 2009 Objective — Question 24

Question 24 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

Find the acute angle between the straight lines y=x and y=sqrt3 x

A. 15Correct
B. 30
C. 45
D. 60

Explanation

m1=1, m2=sqrt3. tan(theta) = (m2-m1)/(1+m1m2) = (sqrt3-1)/(1+sqrt3). By rationalization, theta = tan^-1(0.268) = 15 degrees.

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