1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Consider the following statements about
the matrix $M=\left[\begin{matrix}71&23&48\\ 57&28&29\\ 65&17&48\end{matrix}\right]$
Statement-I: The inverse of M does not exist.
Statement-II: M is non-singular.
Which one of the following is correct in respect of the above statements?
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
What is$\cot ^{-1}9+\>\mathrm{cosec}\>{}^{-1}\left(\frac{\sqrt{41}}{4}\right)$
equal to?
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
How many values of $\theta $, where$- \pi < \theta < \pi$ satisfy both the equations $\cot \theta =-\sqrt{3}$ and $\csc \theta =-2$ simultaneously?
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
If $x+\frac{1}{x}=2\cos \theta$ then what is $x^{3}+\frac{1}{x^{3}}$ equal to?
Paper Analysis
Total Questions
Mathematics 120
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