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Concept:


Calculation:

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->UPSC has released UPSC NDA 2 Notification on 28th May 2025 announcing the NDA 2 vacancies.

-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.

->The NDA exam date 2025 has been announced for cycle 2. The written examination will be held on 14th September 2025.

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-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential. 

Exams Tests Super Practice

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Q2.A possible value of tan \(\left( \frac{1}{4} \sin^{-1} \sqrt{63}/8 \right)\) is:
Q3.If the domain of the function \(\sin^{-1} \left(\frac{3x-22}{2x-19}\right) + \log_e \left(\frac{3x^2 - 8x + 5}{x^2 - 3x - 10}\right)\) is (α, β] then 3α + 10β is equal to:
Q4.Given the inverse trigonometric function assumes principal values only. Let x, y be any two real numbers in [–1, 1] such that    cos–1x – sin–1 y = α, \(\frac{-π}{2}\) ≤ α ≤ π. Then, the minimum value of x2 + y2 + 2xy sinα is 
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Q6.The simplest form of \(\rm \tan^{-1}\left\{\frac{x}{\sqrt{a^2-x^2}}\right\}\) is, where -a < x < a
Q7.\(\rm \sin^{-1}\frac{4}{5}-\sin^{-1}\frac{5}{13}=?\)
Q8.A solution of the equation \(\tan ^{-1} 2 x+\tan ^{-1} 3 x=\frac{\pi}{4}\) is
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More Trigonometry Questions

Q1.If cosec θ + cot θ = p, then \(\rm\frac{p^2-1}{p^2+1}\) equal:
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More Mathematics Questions

Q1.If cosec θ + cot θ = p, then \(\rm\frac{p^2-1}{p^2+1}\) equal:
Q2.In a binomial distribution, if the mean is 6 and the standard deviation is √2, then what are the values of the parameters n and p respectively?
Q3.Three perfect dice D1, D2 and D3 and are rolled. Let x, represent the numbers on D1, D2 and D3 respectively. What is the number of possible outcomes such that x < y < z?
Q4.Three perfect dice are rolled. Under the condition that no two show the same face, what is the probability that one of the faces shown is an ace (one)?
Q5.The occurrence of a disease in an industry is such that the workers have 20% chance of suffering from it. What is the probability that out of 6 workers chosen at random, 4 or more will suffer from the disease?
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