Trigonometric Equations Question 42
Question: The equation $ \sqrt{3}\sin x+\cos x=4 $ has
[EAMCET 2001]
Options:
A) Only one solution
B) Two solutions
C) Infinitely many solutions
D) No solution
Show Answer
Answer:
Correct Answer: D
Solution:
- Given equation is $ \sqrt{3}\sin x+\cos x=4 $ which is of the form $ a\sin x+b\cos x=c $ with $ a=\sqrt{3},,b=1,,c=4 $ . Here $ a^{2}+b^{2}=3+1=4<c^{2}, $ therefore the given equation has no solution.
BETA
