## MATHEMATICS TRIGONOMETRY RATIOS AND IDENTITIES QUIZ-7

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. In (0,Ï€/2),tanmx+cotmx attains
Which one of the above statement is correct?
•  A minimum value which is independent of m
•  A minimum value which is a function of m
•  The minimum value of 2
•  The minimum value at the some point independent of m
Solution

Q2.In a ∆ABC,B=Ï€/8 and C=(5 Ï€)/8. The altitude from A to the side BC, is
•  a/2
•  2a
•  1/2(b+c)
•  b+c
Solution

Q3.

•   0
•  √3
•   3
•   9
Solution

Q4.

•  log⁡(√3+√2)
•  log⁡(√3+1)
•  log⁡(2+√3)
•  None of these
Solution

Q5.

•  1/x
•  x
•  1-x
•  None of these
Solution

Q6. If the solutions for Î¸,cos⁡pÎ¸+cos⁡qÎ¸=0,p>0,q>0 are in AP, then the numerically smallest common             difference of AP is
•
Ï€/p+q
•
2Ï€/p+q
•
Ï€/2(p+q)
•
1/p+q
Solution

Q7.The minimum value of 27cos⁡2x 81sin⁡2x is
• -5
•  1/5
•  1/243
•  None of these
Solution

Q8.The most general value of Î¸ which satisfy both the equations cos⁡Î¸=-1/√2 and tan⁡Î¸=1, is
• 2nÏ€+ 5Ï€/4,n∈I
•  2nÏ€+ Ï€/4,n∈I
•  2nÏ€+ 3Ï€/4,n∈I
•  None of these
Solution

Q9.The values of x satisfying the system of equations
2sin⁡x+cos⁡y =1, 16sin2x+cos2⁡y =4 are given by
•  x=n Ï€+(-1)n Ï€/6 and y=2n Ï€±Ï€/3,n∈Z
•  x=n Ï€+(-1)n+1 Ï€/6 and y=2n Ï€±(2 Ï€)/3,n∈Z
•  x=n Ï€+(-1)n Ï€/6 and y=2n Ï€±(2 Ï€)/3,n∈Z
•  x=n Ï€+(-1)n+1 Ï€/6 and y=2n Ï€±(2 Ï€)/3,n∈Z
Solution

Q10. In a ∆ABC, if A=45°,b=√6,a=2, then B=
•  30° or 150°
•  60° or 120°
•  45° or 135°
•  None of these
Solution
No solution available

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