## MATHEMATICS TRIGONOMETRY RATIOS AND IDENTITIES QUIZ-6

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 in a ∆ABC,A=Ï€/3 and AD is the median, then
•  None of these
Solution

Q2.If Î±+Î²-Î³=Ï€, then sin2Î±+sin2⁡Î²-sin2⁡Î³ is equal to/span>
•  2 sin⁡Î± sin⁡Î² cos⁡Î³
•  2 cos⁡Î± cos⁡Î² cos⁡Î³
•  2 sin⁡Î± sin⁡Î² sin⁡Î³
•  None of these
Solution

Q3.  The value of cos⁡15°cos⁡7 1/2°sin⁡7 1/2° is
•  1/2
•  1/8
•  1/4
•  1/16
Solution

Q4.

•  A is true and B is false
•  A is false and B is true
•  Both A and B are true
•  Both A and B are false
Solution

Q5.If sin⁡A=sin⁡B,cos⁡A=cos⁡B, then the value of A in terms of B is
•  n Ï€+B
•  n Ï€+(-1)nB
•  2 n Ï€+B
•  2 n Ï€-B
Solution

Q6. If A1,A2,A3 denote respectively the areas of an inscribed polygon of 2n sides, inscribed
polygon of n sides and circumscribed polygon of n sides, then A2,A1,A3are in
•  A.P
•  G.P
•  H.P
•  None of these
Solution

Q7.If sin⁡(x-y)=cos⁡(x+y)=1/2, the values of x and y lying between 0° and 90° are given by
•  x=15°,y=25°
•  x=65°,y=15°
•  x=45°,y=45°
•  x=45°,y=15°
Solution
Q8.If cos⁡(Î¸-Î±)=a,sin⁡(Î¸-Î²)=b,then cos2⁡(Î±-Î²) + 2ab sin⁡(Î±-Î²)is equal to
•  4a2 b2
•  a2-b2
•  a2+b2
•  -a2 b2
Solution

Q9.In the ambiguous case, given a,b and A. The difference between the two values of C is
•   2√(a2-b2 )
•  √(a2-b2 sin2⁡A )
•   2√(a2-b2 sin2⁡A )
•   √(a2-b2 )
Solution

Q10. If (sec⁡Î¸-1 )=(√2-1) tan⁡Î¸, then Î¸=
•  n Ï€+ Ï€/8,n∈Z
•  2nÏ€, 2nÏ€+ Ï€/4,n∈Z
•  2nÏ€, n∈Z
•  None of these
Solution

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