## MATHEMATICS TRIGONOMETRY EQUATION QUIZ-4

As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background.

Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

Q1. If 0 < x < Ï€ and cos⁡x+sin⁡x=1/2 , then the value of tan⁡x is
•
2-√7/3
•
4+√7/3
•
1+√7/3
•
2+√7/3
Solution

Q2.The number of solutions of the equation 2 cos⁡(e2)=5x+5-2are
•  No solution
•  One solution
•  Two solutions
•  Infinity many solutions
Solution

Q3.

•  < 1
•  =-1
•   < 0
•  None of these
Solution

Q4. The angle of a right angled triangle are in A.P. The ratio of the in-radius and the perimeter is
•  (2-√3) ∶2√3
•  1∶8√3 (2+√3)
•  (2+√3) ∶4√3
•  None of these
Solution

Q5.

•  nÏ€ ± Ï€/3,n∈Z
•  2nÏ€ + Ï€/3,n∈Z
•  2nÏ€ ± Ï€/3,n∈Z
•  nÏ€ +(-1)n Ï€/3,n∈Z
Solution

Q6.

•  1/a
•  1/b
•  1/c
•  (c+a)/b
Solution

Q7.The number of values of x in the interval [0,3Ï€] satisfying the equation 2 sin2x+5 sin⁡x-3=0 is
• 6
•  1
•  2
•  4
Solution

Q8.

•  abc
•  2abc
•  3abc
•  4abc
Solution

Q9.If A>0,B>0 and A+B=Ï€/3, then the maximum value of tan⁡A tan⁡B , is
•  1/3
•  1
•
•  1/√3
Solution

Q10.

•  √(1+cos2⁡Î± )
•  √(1+sin2⁡Î± )
•  √(2+sin2⁡Î± )
•  √(2+cos2⁡Î± )
Solution

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