Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The angle of intersection of curves y = [|sin x| + |cos x|] and x 2 + y 2 = 5 where [·] denotes the greatest integer function is
A
tan –1 (2)
B
tan –1 
C
tan –1 
D
Text Solution
Verified by ExpertsThe correct answer is:
A
We know that 1 ≤ | sin x| + |cos x| ≤ 
So that [|sin x| + |cos x|] will be constant function y = 1 No
Now intersection point P and Q are (–2, 1) and (2, 1)
Slope of line y = 1 is zero and slope of tangent at P and Q are (–2) and (2) respectively
Thus the angle of intersection is tan –1 (2)
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